SOLUTION: A grandparent is eight times the age of a child. One year from now the grandparent will be seven times the age the child will be then. Find the present age of each (I posted ano

Algebra.Com
Question 1107109: A grandparent is eight times the age of a child. One year from now the grandparent will be seven times the age the child will be then. Find the present age of each
(I posted another problem that I put under the wrong word problem topic. I am sorry about that)
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
G     = 8*C        (1)    ("A grandparent is eight times the age of a child.")

G + 1 = 7*(C+1)    (2)    ("One year from now the grandparent will be seven times the age the child will be then.")



From (1), substitute the expression of G into equation (2).  You will get


8C + 1 = 7*(C+1),


8C + 1 = 7C + 7  ====>  8C - 7C = 7 - 1  ====>  C = 6.


Answer.  The child is 6 years old.  The grandfather/grandmother is 6*8 = 48 years old.

Solved.


RELATED QUESTIONS

In 4 yrs a child will be 3 times the age he is now, how old is... (answered by Alan3354)
A 50 year old man has two children. One of the children is 4 years older than the other.... (answered by richwmiller)
what is the answer to this equation: x over 12 = negative 4 from a helpless... (answered by ewatrrr)
A girl is the eldest of 15 children and each child is exactly a year and a half apart.... (answered by Edwin McCravy)
A woman is 4 times older than her child. 5 years ago the woman was 5 times the age of... (answered by ankor@dixie-net.com,greenestamps)
Solve the problem by making up an equation. A child is 12 years old, and his father is 32 (answered by jorel555,josmiceli)
A child is 12 years old, and his father is 32 years older. In how many years will the age (answered by macston)
If I am 48 years old and a child is 7 years old, at what age will I be three times older... (answered by Alan3354)
The ages of three family children can be expressed as consecutive integers. The square... (answered by josgarithmetic)