SOLUTION: Roni is 30 years old. Grace is 22 years old. How many years ago was Roni twice as old as Grace?

Algebra.Com
Question 1144813: Roni is 30 years old. Grace is 22 years old. How many years ago was Roni twice as old as Grace?
Found 3 solutions by josgarithmetic, Alan3354, ikleyn:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!

.
.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The difference is 8 years.
---> 8 & 16
Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.

Let x be "x years ago".


Then you have this equation


    30-x = 2(22-x).


Simplify and solve for x.


    30 - x = 44 - 2x

    2x - x = 44 - 30

     x     = 14


ANSWER.  14 years ago.


CHECK.  14 years ago Toni was 30-14 = 16 years old; Grace was  22-14 = 8.

        16 = 2*8.    ! Correct !

Ignore any other answer.


RELATED QUESTIONS

Please help me about this problem. Roni is 30 years old and Grace is 22 years old. How... (answered by ikleyn)
ronnie is 30 years old and grace is 22 years old. how many years ago was ronnie twice as... (answered by josgarithmetic)
Igi is now twice as old as Roni's present age. Two years ago, Betty was three times as... (answered by stanbon,Edwin McCravy)
Mommy Grace is 27yrs old. Her son is 13yrs old. How many years ago was Mommy Grace 3... (answered by josgarithmetic,larrypizzu )
Betty's present age is twice Roni's present age. Two years ago, Betty was three times as... (answered by bucky,Nate)
Betty's present age is twice Roni's present age. Two years ago, Betty was three times as... (answered by stanbon)
Grace is twice as old as Tim. Ten years ago, she was 4 times as old as Tim. How old is... (answered by stanbon)
Grace is twice as old as Juan. Ten years ago, she was four times as old as Juan. How old... (answered by )
grace is 4 times as old as vicky.five years ago, vicky was 30 years younger than grace.... (answered by 303795)