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It is also given that five years ago, Jacob age was seven times that of his son. Jacob age 5 years ago will be x-5 and that of his son will be y-5. Hence, the present age of Jacob is 40 and that of his son is 10
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LET PRESENT AGE OF JACOB BE 'X' YEARS
LET PRESENT AGE OF HIS SON BE 'Y' YEARS
FIVE YEARS HENCE,
JACOB WILL BE = x + 5 Years
AGE OF HIS SON WILL BE = y + 5 Years
According to the conditions, we get
y + 5 = 3(x + 5)
→ 3x - y = -10 .... (1)
y - 5 = 7(x - 5)
7x - y = 30 .... (2)
Subtracting (1) from (2), we get
4x = 40 → x = 10
Substitute the value of x in (1), we get
y = 3(10) + 10 = 40
Therefore, the present age of Jacob is 40 years and the present age of his Son is 10 years.
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