A mother is 34 years old, and her son is 6 yers old. How old will her son be, if her mother gets two times older than her?

(Explanation will be nice)

Lunar
May 10, 2016

#1**+5 **

34 = mothers age

6 = son's age

in 'x' years mom will be 34 + x son will be 6+x ALSO two times sons age is equal to mom's 34+x = 2(6+x) solve for x = 22 years

so sone will be 6 + 22 = 28 and mom will be 34 + 22 = 56

ElectricPavlov
May 10, 2016

#2**+5 **

Let y be the number of years until the mother is twice as old.....so we have......

The mother's age at that time = 2 times the son's age at that time

34 + y = 2 ( 6 + y) simplify

34 + y = 12 + 2y subtract y, 12 from both sides

22 = y

The mother will be twice as old in 22 more years

And in 22 years, the son will be 6 + 22 = 28 years old

Check :

34 + 22 = 56

6 + 22 = 28

And 56 is twice as old as 28 !!!!

CPhill
May 10, 2016