# The heights of two boys are in the ratio 2:3. If the height of the shorter boy is 108 cm, what is the difference in the heights of the two boys?

Class: KCPE

Subject: Mathematics

Topic: Ratio and proportions

## Lesson Summary

The heights of two boys are in the ratio 2:3. If the height of the shorter boy is 108 cm, what is the difference in the heights of the two boys?**A.54 cmB.64 cmC.162 cmD.270 cm**

### Text Answer

Let the height of the taller boy be x.

108 : x = 2 : 3

108x=23

2x = 324

X = 162

Difference in heights = 162 – 108 = 54 cm

Hence the required difference = 54 cm.

**The correct answer is A (54 cm).**

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