1.

The ratio of the two natural numbers is 5 : 6. If a certain number is added to both the numbers, the ratio becomes 7 : 8. If the larger number exceeds the smaller number by 10, find the number added?

Answer»

20



Let the two numbers be 5X and 6X.

Let the numbers added to both so that their ratio becomes 7 : 8 be k.

(5x + k) / (6x + k) = 7/8

=> 40x + 8k = 42x + 7K => k = 2x.

6x - 5x = 10 => X = 10

k = 2x = 20.



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