Question

Two numbers are in the ratio of 7 : 4. If 9 is subtracted from each one of them, the ratio becomes 4 : 2. Find the numbers.

Answer 1

Given : Two numbers are in the ratio of 7 : 4.

9 is subtracted from each one of them, the ratio becomes 4 : 2.

To Find :  the numbers.

Solution:

Two numbers are in the ratio of 7 : 4.

Assume numbers are

7x  and  4x

9 is subtracted from each one of them

7x - 9  and 4x - 9

ratio becomes 4 : 2

(7x - 9)/(4x - 9)  = 4/2

=> (7x - 9)/(4x - 9)  = 2

=> 7x - 9 = 8x  - 18

=> 9 = x

Numbers are 7x  and 4x

7(9) = 63  , 4(9) =  36

Numbers are 63  and 36

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