SOLUTION: Ali is 14 years old. His mother is three times as old as he is. In x years' time, his mother will be twice as old as Ali. Form an equation in x and hence find x.

Algebra.Com
Question 1051835: Ali is 14 years old. His mother is three times as old as he is. In x years' time, his mother will be twice as old as Ali. Form an equation in x and hence find x.
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
Ali is 14 years old. His mother is three times as old as he is. In x years' time, his mother will be twice as old as Ali.
Form an equation in x and hence find x.
~~~~~~~~~~~~~~~~~~~~~~~~~

Ali's mother is 3*14 = 42 years now.

In x years . . . 

2*(14 + x) = 42 + x.

28 + 2x = 42 + x,

2x - x = 42 - 28,

x = 14.

Answer. In 14 years.

There is a bunch of lessons on age word problems
    - Age problems and their solutions
    - A fresh formulation of a traditional age problem
    - Really intricate age word problem
    - Selected age word problems from the archive
in this site.

Read them and become an expert in solving age problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

It contains a lot of other word problems and many other interesting and useful things.


RELATED QUESTIONS

12 years old Umar is three times as old as his brother Ali.How old will Umar be when he... (answered by josgarithmetic)
Lowell is 14 years old and his mother is 36 years old. In how m any years will Lowell's... (answered by ptaylor)
A boy is 12 years old. His mother is four times as old as he is. In x years time the... (answered by jhunjiro)
A boy is 12 years old. His mother is four times as old as he is. In x years time, the... (answered by Alan3354)
In 4 years, Ali will be 3 times as old as he is today. How old is... (answered by ikleyn)
A mother is four times as old as his son. In 6 years, she will be three as old as he is.... (answered by macston)
a boy is 10 years old and his mother is 37 years old. In how many years time will the... (answered by Alan3354,Edwin McCravy)
A boy Is 10 years old and his mother is 37 years old. In how many years time will the... (answered by ikleyn,greenestamps)
Samson is 6 years old. His mother is 30 years old. How old will Samson be when his... (answered by Maths68)