Question
A grandmother distributed a total of 480 gold coins
between her two sons in the ratio of (x + 1) to (x – 1). The difference in the number of coins received by the two sons is 120. Find the value of x.Solution
According to question,
480(x + 1)/[(x + 1) + (x – 1)] – 480
(x - 1)/[(x + 1) + (x – 1)] = 120
4[(x + 1) – (x – 1)] = [(x + 1) + (x – 1)]
8 = 2x
x = 8/2 = 4
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