6. Robin is 25 years younger than his father. After 10 years, their ages will be in the ratio 1:2. Find their present ages
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Answered by
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Given :
- Robin is 25 years younger than his father.
- After 10 years, their ages will be in the ratio 1 : 2.
To Find :
- Their present ages.
Let us assume:
- Robin's age = x years
- Robin's father age = (x + 25) years
Ages after 10 years.
- Robin's age = (x + 10) years
- Robin's father age = (x + 25 + 10) years
Finding their ages:
According to the question.
→ (x + 10) / (x + 25 + 10) = 1 / 2
→ 2(x + 10) = 1(x + 25 + 10)
→ 2x + 20 = x + 35
→ 2x - x = 35 - 20
→ x = 15
Their present ages are:
- Robin's age = x = 15 years
- Robin's father age = (x + 25) = (15 + 25) = 40 years
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