Question

A mother is 9 times as old as her son. in five years, she will be 5 times her son's age then. find her present age.

Answer 1

let present age of son be x

present age of mother =9x

in five years,

age of son=x+5

age of mother =9x+5

ATC,

9x+5=5(x+5)

9x+5=5x+25

4x=20

x=5

age of mother=9*5

=45 years

Answer 2

let the present age of child is x
present age of mother be y
ATQ
y=9x
after 5 years
y+5 =5(x+5)
y+5=5x+25
9x+5=5x+25
4x=20
x=5
present age of mother 9x
b. b. 45