Question
The ratio of (x + y):(x – y) is 19:3, where ‘x’ and
‘y’ are positive integers. Find the ratio of ‘x’ and ‘y’, respectively.Solution
ATQ,
(x + y):(x – y) = 19:3
Let (x + y) be ‘19k’ ………… (I) (where ‘k’ is any integer)
So, (x – y) = 19k × (3/19)
So, x – y = 3k ………… (II)
On adding equation (I) and (II), we have;
2x = 22k
Or, ‘x’ = ‘11k’
On putting the value of ‘x’ = 11k in equation (I), we have;
11k + y = 19k
So, ‘y’ = 8k
So, required ratio = (11k:8k) = 11:8
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