found that the resulting
the two digit number
12. Ritu is now four times as old as his brother Raju. In 4 years time, her age will be twice
of Raju's age. What are their present ages?
times as old as his son Two years ago, the father was 13 times as old as
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Let us assume, the present age of Ritu is x years and the present age of Raju is y years.
Given:
x = 4y --------------1
Also given, after 4 years,
x + 4 = 2 ( y + 4)
x + 4 = 2y + 8
x - 2y = 4 -----------------2
Substitute the value of x from equation 1 in equation 2
4y - 2y = 4
2y = 4
y = 2 years
Therefore, x = 4y = 4 * 2 = 8 years
Answer - The age of Ritu is 8 years and the age of Raju is 2 years.
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