Question

Two numbers are in the ratio 3 : 5 . If 9 be subtracted from each , then they are in the ratio 12 : 23 . The first number is :​

Answer 1

Answer:

I didn't exactly get your question... But I think the answer would be 21:32

Answer 2

Answer:

The required number are in the ratio 3 : 5

Let they are 3k and 5k.

Then, according to the question.

$(3k - 9):(5k - 9)::12:23$

$⟹ \frac{3k - 9}{5k - 9} = \frac{12}{23}$

$⟹69k - 207 = 60k - 108$

$⟹69k - 60k = 207 - 108$

$⟹9k = 99$

$∴ \: \: \: \: k = \frac{99}{9} = 11$

Hence, first number is 3k

$⟹3 \times 11 = 33.$