The age of a boy is double the age of his brother after 4 years the product of their ages will be 160. find the present age
Answers
Answer:
The present age of the boy is 12 years and his brother is 6 years old.
The present age of the boy is 12 years and the present age of his brother is 6 years.
Step-by-step explanation:
Let the present age of the boy = x
Let the present age of his brother = y
According to the given information the age of a boy is double the age of his brother.
x = 2y --------(1)
After 4 years the age of the boy = (x + 4) years
After 4 years the age of his brother = (y + 4) years
the product of their will be 160.
(x + 4) (y + 4) = 160 -----------(2)
xy + 4x + xy + 16 = 160
2y² + 8y + 4y + 16 - 160 = 0
2y² + 12y - 144 = 0
y² + 6y - 72 = 0
y (y+12) -6 (y+12) = 0
(y-6) (y+12) = 0
y = 6
according to equation (1) x = 2y
x = 2(6) = 12
The present age of the boy is 12 years and the present age of his brother is 6 years.
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