Question

Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, then the larger number is

(a) 63
(b) 42
(c) 49
(d) 72

Answer 1

(a) 63
Let the larger number be x.

Then

$$\begin{gathered} \frac{9}{(7+9)}=\frac{x}{112} \\ x=\frac{9}{16}\times 112=63 \end{gathered}$$