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Two numbers are such that the ratio between them is 4 : 7. If each is increase by 4, the ratio become 3 : 5. The larger number is = ?
Answer & Solution
Correct Answer:
Option
C
A : B
4x : 7x
Now 4 is added to each number
$$\eqalign{ & \frac{{4x + 4}}{{7x + 4}} = \frac{3}{5} \cr & \Rightarrow 20x + 20 = 21x + 12 \cr & \Rightarrow x = 8 \cr} $$
∴ Smaller number is 4 × 8 = 32
Larger number is 7 × 8 = 56
4x : 7x
Now 4 is added to each number
$$\eqalign{ & \frac{{4x + 4}}{{7x + 4}} = \frac{3}{5} \cr & \Rightarrow 20x + 20 = 21x + 12 \cr & \Rightarrow x = 8 \cr} $$
∴ Smaller number is 4 × 8 = 32
Larger number is 7 × 8 = 56
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