Question

Wo numbers are in the ratio 4:7. If 8 is subtracted from each, the numbers are in ratio 12:23. The smaller number is a) 12

Answer 1

the smaller number is 44

Answer 2

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Here is your answer.
Let the numbers are 4x and 7x

ATQ
$\frac{4x - 8}{7x - 8} = \frac{12}{23} \\ \\ 23(4x - 8) = 12(7x - 8) \\ \\ 92x - 184 = 84x - 96 \\ \\ 92x - 84x = 184 - 96 \\ \\ 8x = 88 \\ \\ x = \frac{88}{8} \\ \\ x = 11$
Therefore Numbers are

4 × 11 = 44
7× 11 = 77

Smaller number is 44

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