Question

Two numbers are in the ratio 2:5. If 16 is added to both the numbers, their ratio becomes 1:2. Find the no.

Answer 1

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Answer 2

Ratio = 2 : 5

Define x:

Let x the constant ratio

Ratio = 2x : 5x

if 16 is added to both the numbers, the ratio become 1 : 2

(2x + 16) / (5x + 16) = 1/2

Cross multiply:

2(2x + 16) = 5x + 16

Distribute 2:

4x + 32 = 5x + 16

Find x:

x = 16

Find the numbers:

2x = 2(16) = 32

5x = 5(16) = 80

Answer: The two numbers are 32 and 80