Question

sum of the ages of a father and his son is 60 .product of their ages is 644.find their ages​

Answer 1

Answer:

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so here we go

Step-by-step explanation:

let the age of father be x years and that of son be y years

according to the first condition

x+y=60

ie x=60-y (1)

according to second condition

xy=644 (2)

substitute value of x from (1) in (2)

we get (60-y)×y=644

60y-y square=644

ie y square-60y+644=0

y square-46y-14y+644=0

y(y-46)-14(y-46)=0

ie (y-14)(y-46)=0

ie y-14=0 OR y-46=0

ie y=14 OR y=46

but if we substitute y=46 in (1)

we would get age of father as 14

ie 46>14

so as age of son is never greater than his father y=46 is absurd

so y=14

thus substitute value of y in (1)

we get x=46

so thus age of father is 46 years and that of his son's age is 14 years