At present, a mother is 3 times older than her son. After 5 years, the sum of their ages will be 70 years. The age of the mother after 10 years will be (1) 40 (2) 55 (3) 45 (4) 60
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Let Present age of her son be X years.
Present age of mother = 3X years.
After five years age of son = ( X + 5 ) years.
After five years age of mother = ( 3X + 5 ) years.
Sum of their ages after five years = 70
X + 5 + 3X + 5 = 70
4X + 10 = 70
4X = 60
X = 60/4
X = 15 years.
Present age of son = X = 15 years
And,
Present age of mother = 3X = 3 × 15 = 45 years.
Present age of mother = 3X years.
After five years age of son = ( X + 5 ) years.
After five years age of mother = ( 3X + 5 ) years.
Sum of their ages after five years = 70
X + 5 + 3X + 5 = 70
4X + 10 = 70
4X = 60
X = 60/4
X = 15 years.
Present age of son = X = 15 years
And,
Present age of mother = 3X = 3 × 15 = 45 years.
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