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Question

Two numbers are such that the ratio between them is 3 : 5. If each is increased by 10, the ratio between the new numbers so formed is 5 : 7. Find the original numbers.

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Solution

Ratio between two numbers = 3 : 5

Let first number = 3x

and second number = 5x

Now According to the condition,

3x + 10 : 5x + 10 = 5 : 7

3x+105x+10=57

7 (3x + 10) = 5 (5x + 10)

(By cross multiplication)

21x + 70 = 25x + 50

21x - 25x = 50 - 70 -4x = - 20

4x = 20 x=204=5

first number = 3x = 3 × 5 = 15

and second number 5x = 5 × 5 = 25

Hence numbers are 15, 25 Ans.


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