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The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:
- a)5 : 2
- b)7 : 3
- c)9 : 2
- d)13 : 4
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The age of father 10 years ago was thrice the age of his son. Ten year...
Let the ages of father and son 10 years ago be 3x and x years respectively.
Then, (3x + 10) + 10 = 2[(x + 10) + 10]
3x + 20 = 2x + 40
x = 20.
Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.Most Upvoted Answer
The age of father 10 years ago was thrice the age of his son. Ten year...
Let the age of son, 10 years ago is = x yrs.
Let the age of father, 10 years ago is = 3x yrs.
Age of father, 10 years hence is (3x + 10 + 10) yrs.
Age of son, 10 years hence is (x + 10 + 10) yrs.
3x + 20 = 2(x + 20) =》3x - 2x = 40 - 20 =》 x = 20
Required ratio = (3x + 10) : (x + 10)
= 70 : 30
= 7 : 3
Let the age of father, 10 years ago is = 3x yrs.
Age of father, 10 years hence is (3x + 10 + 10) yrs.
Age of son, 10 years hence is (x + 10 + 10) yrs.
3x + 20 = 2(x + 20) =》3x - 2x = 40 - 20 =》 x = 20
Required ratio = (3x + 10) : (x + 10)
= 70 : 30
= 7 : 3
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Community Answer
The age of father 10 years ago was thrice the age of his son. Ten year...
Given Information:
- 10 years ago, the father's age was thrice the age of his son.
- 10 years hence, the father's age will be twice that of his son.
Let's Solve the Problem:
Let the present age of the son be S and the present age of the father be F.
- According to the first condition, 10 years ago:
F - 10 = 3(S - 10) (Father's age 10 years ago was thrice his son's age)
F - 10 = 3S - 30
F = 3S - 20
- According to the second condition, 10 years hence:
F + 10 = 2(S + 10) (Father's age 10 years hence will be twice his son's age)
F + 10 = 2S + 20
F = 2S + 10
- Equating the two expressions for F:
3S - 20 = 2S + 10
S = 30
- Substituting S = 30 into F = 2S + 10:
F = 2(30) + 10
F = 70
Therefore, the present ages of the father and son are 70 and 30 respectively.
Ratio of their present ages:
70:30
7:3
Therefore, the ratio of their present ages is 7:3.
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The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:a)5 : 2b)7 : 3c)9 : 2d)13 : 4Correct answer is option 'B'. Can you explain this answer?
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