Question
The total of two numbers ‘a’ and ‘b’ is 660. If
‘a’ is reduced by 8% and ‘b’ is increased by 20%, they become equal. Determine the value of ‘b’.Solution
ATQ,
a + b = 660 ……(i)
ATQ,
0.92 × a = 1.20 × b
Or, a = (1.20 / 0.92) × b
So, a = (30b / 23)
Put the value of ‘a’ in equation (i), we get,
(30b/23) + b = 660
Or, (53b/23) = 660
Or, b = 660 × (23/53)
So, b = 286
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