SOLUTION: two girls' ages, 11 years apart, when multiplied, make 210. The sum of their ages is?

Question 733591: two girls' ages, 11 years apart, when multiplied, make 210. The sum of their ages is?
Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let their ages be and
given:

I notice that and

( ignore x = -21 )

The sum of their ages is

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let one girl's be and another
if two girls' ages, years apart, then ...eq.1
when multiplied, .......eq.2
The sum of their ages is
start with:
...eq.1
.......eq.2
____________________________
...eq.1...solve for
...eq.1...substitute in eq.2
.......eq.2.....solve for

......use quadratic formula

solutions:

and

.....since we are looking for age, we do not need this solution
now find

so, one girl's be and another and the sum of their ages is

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