Question

Sum of ages of father and son is 45 years five years ago product of their ages was 124 find their ages

Answer 1

Answer:

father's age : 36 and son's age :9

Step-by-step explanation:

let father's age : x

and son's age : (45 - x)

five years ago,

father's age : (x - 5)

son's age : (40 -x)

(x -5)(40 -x) =124

x(40 -x) -5(40 -x) =124

40x -x2 -200 +5x=124

-x2 +45x =324

-x2 +45x -324 = 0(remove - sign by taking common)

x2 -45x +324 =0

x2 -36x -9x +324 =0

x(x-36) -9(x-36) =0

(x-36)(x-9)

so father's age can't be 9 so age = 36

and son's age = 9