Question

5 years ago, a mother was 7 times as old as her daughter.5 years hence, she will be 3 times as old as her daughter. Fine their present ages in linear equation in one variable.

Answer 1

Let her age 5 year ago be x

ATQ

Daughter = x

Mother =7x

After 5 years from now

dau. = x+10

mother = 3(x+10) or 7x +10

3x+30= 7x+10

x=5

Their present ages=

Dau. = 5+5= 10

Mother = 7x+5= 35+5=40