Question
5 years from now, the ratio of ages of Asha and Kiran will
be 3:4 respectively. The total of their current ages is 95 years. What is the difference in their present ages?Solution
ATQ,
5 years from now, let the age of Asha = ‘3x’ years
Then, 5 years from now, age of Kiran = (4/3) × 3x = ‘4x’ years
So, present age of Asha = (3x – 5) years
Present age of Kiran = (4x – 5) years
Sum of present ages of Asha and Kiran = 3x – 5 + 4x – 5 = (7x – 10) years
So, 7x – 10 = 95
Or, 7x = 95 + 10 = 105
Or, x = (105/7) = 15
So, difference between present ages of Asha and Kiran = 4x – 3x = x = 15 years
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