SOLUTION: Mother's age is 6 times Gauri's age and grandmother's age is twice mother's age. After 5 years, the sum of their ages will be 110 years. Find their present age. Manju has $90 in

Algebra.Com
Question 886623: Mother's age is 6 times Gauri's age and grandmother's age is twice mother's age. After 5 years, the sum of their ages will be 110 years. Find their present age.
Manju has $90 in her piggy bank in $1 coins and 50 p coins. If the number of $1 coins is twice that of 50p coins, how many coins of each kind are there?

Answer by JulietG(1812)   (Show Source): You can put this solution on YOUR website!
In the future, please post each problem individually. Multiple problem submissions tend to get overlooked. Thanks!
.
Mother's age is 6 times Gauri's age and grandmother's age is twice mother's age. After 5 years, the sum of their ages will be 110 years. Find their present age.
M = 6G
N = 2M; therefore N = 12G
In 5 years, they will be 15 years old (5+5+5); therefore, the present sum of their ages = 110-15, or 95
M + G + N = 95
substitute the known values into that equation.
M + G + N = 95
(6G) + G + (12G) = 95
19G = 95
Divide each side by 19

If Gauri is 5 and mother is 6 times her age, Mother is
Grandmother is twice Mother's age, or
5 + 30 + 60 = 95
In five years, they will be 10 + 35 + 65, or 110
.
Manju has $90 in her piggy bank in $1 coins and 50 p coins. If the number of $1 coins is twice that of 50p coins, how many coins of each kind are there?
72 dollars; 36 fifty pence

RELATED QUESTIONS

A mother is 12 years older than triple the age of her daughter. The sum of their ages is (answered by ewatrrr)
My mother is 12 years more than twice my age. After 8 years, my mother’s age will be 20... (answered by god2012)
my mother is 12 years more than twice my age. After 8 years, my mother’s age will be 20... (answered by TimothyLamb)
15. My mother is 12 years more than twice my age. After 8 years, my mother’s age will be... (answered by josgarithmetic)
Matthew's dad is 3 years less than 4 times his son's age. The sum of mother's age and his (answered by ikleyn)
Jenna’s mother is 3 times as old as Jenna. In 3 years, the sum of their ages will be... (answered by josgarithmetic,ikleyn)
A mother’s age is five years greater than twice her son’s age as of the present. Fifteen... (answered by ewatrrr)
The sum of Victor’s and Ellen’s age is 40 years. Victor’s age 10 years from now will be 1 (answered by oberobic)
1. The sum of the ages of a mother and a daughter is 50yrs. Five years ago, the mother’s (answered by algebrahouse.com)
Dawn’s mother is 4 years older than twice Dawn’s age. The difference of their ages is 22 (answered by josgarithmetic)