Question
The ratio of two numbers P and Q is 6: 11 respectively.
When 5 is added to P and 84 is subtracted from Q, then the ratio of P and Q becomes 5: 2 respectively. Find the initial sum of P and Q.Solution
Let initial values of P and Q are 6n and 11n respectively. Then,
(6n + 5): (11n - 84) = 5: 2
12n + 10 = 55n - 420
430 = 43n
n = 10
Therefore, initial sum of P and Q = 6n + 11n = 17n = 17 * 10 = 170
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