Question
The ratio of (p + q):(p – q) is 23:9, where ‘p’ and
‘q’ are positive integers. Find the ratio of ‘p’ and ‘q’, respectively.Solution
ATQ,
(p + q):(p – q) = 23:9
Let (p + q) be ‘23k’ ………… (I) (where ‘k’ is any integer)
So, (p – q) = 23k × (9/23)
So, p – q = 9k ………… (II)
On adding equation (I) and (II), we have;
2p = 32k
Or, ‘p’ = ‘16k’
On putting the value of ‘p’ = 16k in equation (I), we have;
16k + q = 23k
So, ‘q’ = 7k
So, required ratio = (16k:7k) = 16:7
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