Let the digit be xy
x + y = 10 ........................... (i)
When reversed the number becomes yx.
Get the total value for the original and reversed numbers.
10x + y + 54 = 10y + x
54 = x - 10x + 10y - y
54 = -9x + 9y .................. (ii)
Solve the equation (i) and (ii)
9(x + y = 10)
-9x + 9y = 90
-9x + 9y = 54 + (add eqns)
18y = 144
y = 8;
x + 8 = 10;
x = 2
The number is 28.
johnmulu answered the question on June 8, 2017 at 12:33
-
The sides of a parallelogram are as shown below.
(Solved)
The sides of a parallelogram are as shown below.
Calculate the value of x and y
Date posted:
June 8, 2017
.
Answers (1)
-
There are unspecified number of cows and hens in a den. If there are a total of 30 heads and 80 legs in the den, find the number of cows and hens in the den.
(Solved)
There are unspecified number of cows and hens in a den. If there are a total of 30 heads and 80 legs in the den, find the number of cows and hens in the den.
Date posted:
June 8, 2017
.
Answers (1)
-
The sum of angles of a triangle is given by the expression (2a + b)o while that of a quadrilateral is given by (13a - b)o. Calculate the values of a and b.
(Solved)
The sum of angles of a triangle is given by the expression (2a + b)o while that of a quadrilateral is given by (13a - b)o. Calculate the values of a and b.
Date posted:
June 8, 2017
.
Answers (1)
-
Beja bought 15 shirts and 8 trousers for Shs. 11, 250. His brother Jack bought 20% less similar shirts and 25% more similar trousers, from the same shop for Shs. 11, 700. Find the cost od a shirt.
(Solved)
Beja bought 15 shirts and 8 trousers for Shs. 11, 250. His brother Jack bought 20% less similar shirts and 25% more similar trousers, from the same shop for Shs. 11, 700. Find the cost od a shirt.
Date posted:
June 8, 2017
.
Answers (1)
-
Adhiambo travels part of her journey by bus and the rest by Nissan
(Solved)
Adhiambo travels part of her journey by bus and the rest by Nissan. She paid Shs. 400 as fare in Total. On the return journey, the Nissan fare was hiked a quarter of what she paid during the on ward journey and thus she paid sh. 440 in total. Find the bus fare.
Date posted:
June 8, 2017
.
Answers (1)
-
Wanjala broke three beakers and four test tubes while Kamau broke two beakers and five test tubes during practical lessons in the lab
(Solved)
Wanjala broke three beakers and four test tubes while Kamau broke two beakers and five test tubes during practical lessons in the lab. If Wanjala was charged Ksh. 560 and Kamau Ksh. 490 for the breakages, find the cost of each beaker and test tube.
Date posted:
June 8, 2017
.
Answers (1)
-
Solve for x in
(Solved)
Solve for x in
2x + $3^y$ = 59 and $2^{x+3}-3^{y+2}$ = 13
Date posted:
June 8, 2017
.
Answers (1)
-
A line has the equation y = mx + c,
(Solved)
A line has the equation y = mx + c,
where x = 1, y = 1 and when x = 3, y = -1. Find the values of m and c.
Date posted:
June 8, 2017
.
Answers (1)
-
Find the point of intersection of the line y = 7 - 4x and the curve y = 3 - x2
(Solved)
Find the point of intersection of the line y = 7 - 4x and the curve y = 3 - x2
Date posted:
June 8, 2017
.
Answers (1)
-
Two lines whose equations are 2x + 3y = 6 and 9y = 6x - 18 intersect at A. find the co-ordinates of A.
(Solved)
Two lines whose equations are 2x + 3y = 6 and 9y = 6x - 18 intersect at A. find the co-ordinates of A.
Date posted:
June 8, 2017
.
Answers (1)
-
Find the point of intersection of the lines:
(Solved)
Find the point of intersection of the lines:
$\frac{x}{y+1}$ = $\frac{3}{5}$ and $\frac{x+1}{5}$ = $\frac{y}{2}$
Date posted:
June 8, 2017
.
Answers (1)
-
Find the point of intersection of these two straight lines:
(Solved)
Find the point of intersection of these two straight lines:
2y + 3y + 1 = 0 and 2x - y = 2.
Date posted:
June 8, 2017
.
Answers (1)
-
Solve the simultaneous equations.
(Solved)
Solve the simultaneous equations.
y = 2(x - 1) and y = 10 - x hence find the value of a if
y2 = 4ax
Date posted:
June 8, 2017
.
Answers (1)
-
When asked to find $\frac{7}{18}$ of a number, a girl made the mistake finding $\frac{7}{8}$ of it. Her answer was too big by 105. Find the number.
(Solved)
When asked to find $\frac{7}{18}$ of a number, a girl made the mistake finding $\frac{7}{8}$ of it. Her answer was too big by 105. Find the number.
Date posted:
June 8, 2017
.
Answers (1)
-
Four people Jane, Mary, Calley and David are business partners. They share profit made as follows: Mary gets twice as much as Calley..
(Solved)
Four people Jane, Mary, Calley and David are business partners. They share profit made as follows: Mary gets twice as much as Calley. Jane gets sh 1 200 more than Calley. During a given period they made a profit of sh 89 200. Determine the share of Calley.
Date posted:
June 8, 2017
.
Answers (1)
-
The sum of four consecutive even numbers is 108. Find the numbers.
(Solved)
The sum of four consecutive even numbers is 108. Find the numbers.
Date posted:
June 8, 2017
.
Answers (1)
-
Betty is 8 years older than Hilda and 3 years older than Matilda. If the sum of their age is 37 years, find the age of Matilda.
(Solved)
Betty is 8 years older than Hilda and 3 years older than Matilda. If the sum of their age is 37 years, find the age of Matilda.
Date posted:
June 8, 2017
.
Answers (1)
-
A farmer has twice as many goats as cows and half as many pigs as cows. If he has 45 pigs in his farm, how many animals does he keep altogether?
(Solved)
A farmer has twice as many goats as cows and half as many pigs as cows. If he has 45 pigs in his farm, how many animals does he keep altogether?
Date posted:
June 8, 2017
.
Answers (1)
-
Mary is 5 times as old as her daughter. 15 years from now, the daughter will be half as old as her mother. What is the present age of each.
(Solved)
Mary is 5 times as old as her daughter. 15 years from now, the daughter will be half as old as her mother. What is the present age of each.
Date posted:
June 8, 2017
.
Answers (1)
-
A man is now three times as old as the daughter. In 12 years times he will be twice as old as his daughter. Find their present ages.
(Solved)
A man is now three times as old as the daughter. In 12 years times he will be twice as old as his daughter. Find their present ages.
Date posted:
June 8, 2017
.
Answers (1)