three times as old as her son 5 years hence the sum of their ages will be 70 years find their present ages
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Solution :
Given :
Mother is 3 times as old as her son.
After 5 years, Sum of their ages will be 70 years.
To Find :
Present ages of both.
Solution :
Let the present age of son be x years.
Now,
Present age of mother = 3 times of x = 3x years.
After 5 years,
Son's age = (x + 5) years.
Mother's age = (3x + 5) years.
⟹ (Mother's + Son's) Age = 70
⟹ 3x + 5 + x + 5 = 70
⟹ 4x + 10 = 70
⟹ 4x = 70 – 10
⟹ 4x = 60
⟹ x = 60/4
⟹ x = 15.
Now, Age of Mother :-
➠ 3x
➠ 3 × 15 = 45 years.
So, Present age of son is 15 years and Present age of mother is 45 years.
Final Answer :
- Son's Age = 15 years.
- Mother's Age = 45 years.
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Hope it helps you mate :)
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