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8090 [49]
3 years ago
6

My son is seven times older than my grandson and I am 12 times older than my grandson. If you add all our ages together, the sum

is 100 years. Can you tell me my age in years?
Mathematics
1 answer:
strojnjashka [21]3 years ago
8 0
Given:
I:
My age.
S: My son.
G: My grandson.
If you add all our ages together, the sum is 100 years.
SOLVING:

I + S + G = 100 ===> First equation.
S = 7G ===> Second equation.
I = 12G ===> Third equation.

We replace the second equation and the third ecuation in the first equation:
12G + 7G + G = 100
20G = 100
G = \frac{100}{20}
G = 5 years old. ===> My grandson.
S = 7(5)
S = 35 years old. ===> My son.
I = 12(5)
I = 60 years old. ===> My age. SOLUTION

TESTING:

5+35+60=100
\boxed{100}=\boxed{100}\quad\checkmark\ The\ value\ is\ correct.
GOOD LUCK...!!!
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