Question

2:5, if 16 is added to both tge numbers their ratio is 1:2 then ans is?

Answer 1

Complete question - The ratio of two numbers is 2:5. If 16 is added to both the numbers, their ratio becomes 1:2. Then find the numbers.

Solution :

The ratio of the two numbers is 2:5

Let, x is the common multiple

Then, the numbers become 2x and 5x

Given that, when 16 is added to both the numbers, their ratio becomes 1:2

That means,

    (2x + 16) : (5x + 16) = 1 : 2

    or, $\frac{2x+16}{5x+16}=\frac{1}{2}$

    or, 2 (2x + 16) = 5x + 16

    or, 4x + 32 = 5x + 16

    or, 5x - 4x = 32 - 16

    or, x = 16

Therefore, the two numbers be

    (2 * 16) and (5 * 16)

    i.e., 32 and 80

Verification :

The ratio of the numbers

     = 32 : 80 = 2 : 5

When 16 be added to both the numbers, the numbers be (32 + 16) and (80 + 16) , i.e., 48 and 96, and thus the required ratio be

    = 48 : 96 = 1 : 2

Thus, verified.

Answer 2

Hope it helps

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