Question

Two numbers are such that the ratio between them is 4 : 7. if each is increased by 4, the ratio becomes 3 : 5. the larger number is:

Answer 1

Answer:

Larger number = 56

Step-by-step explanation:

Ratio of two numbers = 4:7

Let 4x , 7x are two numbers.

/* if each is increased by 4, the ratio becomes 3 : 5.

$\implies \frac{4x+4}{7x+4}= \frac{3}{5}$

$\implies 5(4x+4) = 3(7x+4)$

$\implies 20x+20 = 21x+12$

$\implies 20x-21x = 12-20$

$\implies -x = -8$

$\implies x = 8$

Therefore,

First number = 4x = 4×8 = 32

Second number = 7x = 7 × 8 = 56

Larger number = 56

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