SOLUTION: Sally is 6 years more than twice as old as Sue. The difference between their ages is 48 years. How old is Sally?

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Question 1152053: Sally is 6 years more than twice as old as Sue. The difference between their ages is 48 years. How old is Sally?
Found 3 solutions by josgarithmetic, greenestamps, MathTherapy:
Answer by josgarithmetic(39613)   (Show Source): You can put this solution on YOUR website!
y, Sally
u, Sue

Literal description as a system of equations:



Two possible choices from the absolute value; one of them should work and the other should not work.

That means, one of these will work and the other may not work:

OR
Answer by greenestamps(13195)   (Show Source): You can put this solution on YOUR website!


Using two variables to set up the problem makes for a lot of extra work....

The difference in their ages is 48 years; and Sally is older. So

x = Sue's age
x+48 = Sally's age

Then write and solve the equation that says Sally's age is 6 more than twice Sue's age:




ANSWER: Sue is 42; Sally is 42+48 = 90.
Answer by MathTherapy(10549)   (Show Source): You can put this solution on YOUR website!

Sally is 6 years more than twice as old as Sue. The difference between their ages is 48 years. How old is Sally?
Let Sue's age be S

As it's crystal clear that Sally is older, we get: 2S + 6 - S = 48

S, or Sue = 48 - 6 = 42

Sally's age:  

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