Question

the ratio of Ahmed's age to Mohammed's age is the same as the ratio of the ages of their respective elder brothers​

Answer 1

Answer:

1) Let the ages of Ahemed be 'a' years and that of Mohammed be 'b' years; and their respective elder brothers ages be c & d years.

2) So as given a/b = c/d

3) Then applying Compenendo & Dividendo property of Ratio/Proportions,

(a + b)/(a - b) = (c + d)/(c - d)

==> (a + b)/(c + d) = (a - b)/(c - d)

But given the ratio of differences, that is (a - b)/(c - d) = 1/2

Hence of the above, the ratio of sum of their ages (a + b)/(c + d) = 1/2