SOLUTION: Noel is 5 years older than Dennis and 10 years younger than Hilda. In 8 years, their combined ages will be 65. How old is Noel?

Question 1185954: Noel is 5 years older than Dennis and 10 years younger than Hilda. In 8 years, their combined ages will be 65. How old is Noel?

Found 2 solutions by ankor@dixie-net.com, josgarithmetic:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Noel is 5 years older than Dennis
n = d + 5
or
d = n - 5
:
and 10 years younger than Hilda.
n = h - 10
or
h = n + 10
:
In 8 years, their combined ages will be 65.
(n+8) + (d+8) + (h+8) = 65
n + d + h + 24 = 65
n + d + h = 65 - 24
n + d + h = 41
replace d with (n-5) and replace h with n+10
n + (n-5) + (n+10) = 41
combine like terms
3n + 5 = 41
3n = 41 - 5
3n = 36
n = 36/3
n = 12
:
How old is Noel? 12

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Noel is 5 years older than Dennis;
same as Dennis is 5 years younger than Noel.

Hilda is 10 years older than Noel, so
Hilda is n+10;
Dennis is n-5;
Noel is n;

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-----------and question asks for n.
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