Question

The sum of the heights of two brothers is 10 feet, 4 inches. The difference between their heights is 10 inches. How tall is the shorter brother? (12 inches = 1 foot; Remember to convert into inches first and then into feet at the end.) Let the height of the taller brother = x and the height of the shorter brother = y.

4.75 ft
4.5 ft
4 ft
4.58 ft

Answer 1

4.5 ft

Explanation:

Let us assume the height of the taller brother be x

And, the height of the shorter brother be y

Now according to the question

x + y = 10.33

x - y = 0.833

Now solve these two equations

2x = 11.666

x = 5.833

y = 10.33 - 5.83

= 4.5 ft