Class 10 Exam > Class 10 Questions > If the sum of ages of father and son is 40 ye...
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If the sum of ages of father and son is 40 years and its difference is 20 years then age of father will be:
- a)30 years
- b)25 years
- c)20 years
- d)35 years
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If the sum of ages of father and son is 40 years and its difference is...
Let father's age be x years and son's age be y, then
x + y = 40 ...(i)
and x – y = 20
On adding eq. (i) and (ii), we get
2x = 60
⇒ x = 30.
x + y = 40 ...(i)
and x – y = 20
On adding eq. (i) and (ii), we get
2x = 60
⇒ x = 30.
Most Upvoted Answer
If the sum of ages of father and son is 40 years and its difference is...
To solve this problem, we need to set up a system of equations based on the given information and then solve for the age of the father.
Let's assume the son's age is "x" years and the father's age is "y" years.
According to the given information:
1. The sum of ages of the father and son is 40 years: x + y = 40
2. The difference between their ages is 20 years: y - x = 20
Now, let's solve these two equations to find the values of x and y.
Adding the two equations, we have:
(x + y) + (y - x) = 40 + 20
2y = 60
Dividing both sides by 2, we get:
y = 30
Therefore, the age of the father is 30 years. Thus, the correct answer is option 'A'.
Let's assume the son's age is "x" years and the father's age is "y" years.
According to the given information:
1. The sum of ages of the father and son is 40 years: x + y = 40
2. The difference between their ages is 20 years: y - x = 20
Now, let's solve these two equations to find the values of x and y.
Adding the two equations, we have:
(x + y) + (y - x) = 40 + 20
2y = 60
Dividing both sides by 2, we get:
y = 30
Therefore, the age of the father is 30 years. Thus, the correct answer is option 'A'.
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Community Answer
If the sum of ages of father and son is 40 years and its difference is...
पिता और पुत्र की आयु 40 वर्ष तथा उनकी आयु का अंतर 20 वर्ष
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