Question

sum of age of father and son is 35 years product of their age is 150. write a quadratic equation​

Answer 1

Step-by-step explanation:

1)x+y=35

2)xy=150

x=35-y from 1)

substitute in equation 2

(35-y)(y)=150

y2-35y+150

Answer 2

$\bf {Let \: the \: father \: and \: his \: son's \: age \: be \: 'X' \: yrs \: and \: 'Y' \: yrs \: respectively. }\\\sf{X+Y=35} \\\sf{ x×Y=150 }\\\sf {X = \frac{150}{Y}}\\\sf{ 150+Y^{2} =35Y} \\\sf{Y^{2} −35Y+150=0} \\\sf{(Y−5)(Y−30)=0} \\ \sf{ Y=5} \\ \sf{ ∴ the \: son's age (Y) = 5 \: yrs \: and \: father's \: age (X) = 30 \: yrs.}$