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The ratio of the age of a father to that of his son is 5 : 2. If the product of their ages in years is 1000, then find the father’s age after 10 years.
- a)40 years
- b)50 years
- c)60 years
- d)100 years
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The ratio of the age of a father to that of his son is 5 : 2. If the p...
's age.
Let the age of the father be 5x and the age of the son be 2x (according to the given ratio).
Their product of ages is 1000, so we have:
5x * 2x = 1000
10x^2 = 1000
x^2 = 100
x = 10
Therefore, the age of the father is 5x = 50 years old.
Let the age of the father be 5x and the age of the son be 2x (according to the given ratio).
Their product of ages is 1000, so we have:
5x * 2x = 1000
10x^2 = 1000
x^2 = 100
x = 10
Therefore, the age of the father is 5x = 50 years old.
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Community Answer
The ratio of the age of a father to that of his son is 5 : 2. If the p...
Let father’s age = x years and son’s age be y years
According to question
Also; xy = 1000 .... (ii)
Put the value of y from Eqn. (i) in Eqn. (ii) we get
xy = 1000 ⇒ x × 2x/5 =1000 ⇒ 2x2 = 1000 × 5
⇒ x2 = 2500 ⇒ x = 50
So, after 10 years father’s age will be = x + 10
= 50+ 10 = 60 years.
According to question
Also; xy = 1000 .... (ii)
Put the value of y from Eqn. (i) in Eqn. (ii) we get
xy = 1000 ⇒ x × 2x/5 =1000 ⇒ 2x2 = 1000 × 5
⇒ x2 = 2500 ⇒ x = 50
So, after 10 years father’s age will be = x + 10
= 50+ 10 = 60 years.
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The ratio of the age of a father to that of his son is 5 : 2. If the product of their ages in years is 1000, then find the father’s age after 10 years.a)40 yearsb)50 yearsc)60 yearsd)100 yearsCorrect answer is option 'C'. Can you explain this answer?
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