A father is three times as old as his son. The sum of their ages is 52 years . find the ages of son and father
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Answered by
23
Answer:
let the age of the father be x and son be y
given
x = 3y
x + y = 52
so, 3y + y = 52
4y = 52
y = 13
x = 3×13
= 39
so the age of son is 13
age of father is 39
Answered by
31
✐ Let's Understand the Concept:-
In question, it is given that a father's age is triple of his son's age. And sum of thier ages is 52 years. So, here we can take the son's age as any variable, say 'x'. And let's take his father age as triple x.
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✐ Solution:-
- Let the age of son be x years
- And Age of father be 3x years
⟴ According to given conditions;
Sum of thier ages = 52 years
➟ Son's age + father's age = 52 years
⟴ Putting assuming value in equation
➟ x + 3x = 52 years
➟ 4x = 52 years
➟ x = 52 ÷ 4
➟ x = 13 years
⟴ Hence,
- Age of son = x = 13 years.
- Age of father = 3x = 39 years.
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