SOLUTION: 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?

Question 790564: 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?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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?
----------------------
Equations:
s = 7g
f = 12g
f + s + g = 100
-------
Substitute for s and for f and solve for ":
-------
12g + 7g + g = 100
-----
20g = 100
g = 5 (grandson's age now)
s = 7g = 35 (son's age now)
f = 12g = 60 (father's age now)
--------------------------------------
Cheers,
Stan H.
=================

RELATED QUESTIONS
My son is seven times older than my grandson and I am 12 times older than my grandson. If (answered by solver91311)

my son is 24 years younger than i am and 35 years older than my grandson, together our... (answered by Fombitz)

a principal walks in and said I am 4 times the age of my grandson and my son is 11 years... (answered by ankor@dixie-net.com)

my son is 24 years younger than i am. he in turn is 25 years older than my grandson. my... (answered by lwsshak3)

There is three Persons grandson, father and grandfather and their aggrigated age is 140 . (answered by ankor@dixie-net.com)

A teacher was asked by her students how old she is. She said ok but they have to solve... (answered by josgarithmetic,Theo)

I will be 12 years older than my brother. I will be 28 years younger than my dad. If you... (answered by lwsshak3)

I am half my mothers age my father is 5 years older than my mother when you add up all... (answered by lwsshak3)

Andre came up with the following puzzle. �I am three years younger than my brother, and I (answered by joshuajz,josgarithmetic)