Question
20 years ago, the age of ‘I’ was 50% more than
‘J’. If the sum of their present ages is 90 years, then find the present age of ‘I’.Solution
ATQ,
Let the present ages of ‘I’ and ‘J’ be (x + 20) years and (y + 20) years, respectively.
ATQ;
x = 1.50 × y = 1.5y ………………. (1)
Also, x + 20 + y + 20 = 90
Or, x + y = 50 ……………. (2)
Putting x = 1.5y from equation (1), we have
1.5y + y = 50
Or, 2.5y = 50
So, y = 50 ÷ 2.5 = 20
So, x = 50 – 20 = 30
Therefore, present age of ‘I’ = 30 + 20 = 50 years.
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