Question

Two number s are in the ratio 8:15. If 5 is added to each of the numbers the ratio becomes 29:49. Find the number.

Answer 1

Ratio of two numbers = 8:15
Let the numbers be 8x and 15x.

After adding 5 to each of the numbers, the numbers will be (8x+5) and (15x+5).
After adding 5 to each of the numbers, the ratio became 29:49.

So, the equation formed is
(8x+5)/(15x+5) = 29/49
On solving the equation, you will get x as (100/43).
So, the numbers are
8x = (800/43)
and
15x = (1500/43).

Hope it helps.
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