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1. Two numbers are such that the ratio between them is 4 : 7. If each is increased by 4, the ratio becomes 3 : 5. The lager number is ?

A. 36

B. 48

C. 56

D. 64

Solution:

Let the numbers be 4x and 7x
Then,

\begin{aligned} \Leftrightarrow \frac{4 x + 4}{7 x + 4} = \frac{3}{5} \\ \Leftrightarrow 5 (4 x + 4) = 3 (7 x + 4) \\ \Leftrightarrow x = 8 \end{aligned}

∴ Larger number :
= 7x
= 7 × 8
= 56

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