SOLUTION: At present, the sum of the parents' ages is twice the sum of the children's ages. five years ago,the sum of the parent's ages was 4 times the sum of the children's ages. fifteen ye
Algebra.Com
Question 394132: At present, the sum of the parents' ages is twice the sum of the children's ages. five years ago,the sum of the parent's ages was 4 times the sum of the children's ages. fifteen years hence, the sum of the parent's ages will beequal to the sum of the children's ages. how many children are there?
this question is really difficult. i am having trouble solving this. thank you
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
At present, the sum of the parents' ages is twice the sum of the children's ages. five years ago,the sum of the parent's ages was 4 times the sum of the children's ages. fifteen years hence, the sum of the parent's ages will beequal to the sum of the children's ages. how many children are there?
let number of children be x
let sum of childrens' age = y
sum of parents' age = z
..
z=2y
5 years ago
z-10 = 4(y-5x) ( four times their age 5 years ago.)(x children so less 5x)
2y-10=4y-20x
2y-20x=-10
/2
y-10x=-5.....................1
15 years later ( 2 parents so add 30 )
z+30= 15x+y
2y+30=15x+y
15x-y=30......................2
add both
5x=25
/5
Number of children
plug value of x in (1)
15*5-y=30
75-y=30
y=70-30
y=45 sum of childrens' age
...
z= 2y = 90 sum of parents' age
..
m.ananth@hotmail.ca
RELATED QUESTIONS
At present, the sum of the parents' ages is twice the sum of the children's ages. five... (answered by mananth)
1. At present, the sum of the parent's age is twice the sum of the children's ages. Five... (answered by ankor@dixie-net.com)
Phoebe’s age is 5 more than twice her brother’s age 10 years ago. The sum of their... (answered by trevorgiehl)
The sum of James’ age and David’s age is 34. Five years ago, the sum of twice James’ age... (answered by josgarithmetic,ikleyn)
The sum of the parent's age is twice the sum of their children's ages. Five years ago,... (answered by mananth)
The sum of Alan’s age and Patrick’s age is 58. Eight years ago, Alan was twice as old as... (answered by Seutip)
The sum of Ellen’s and Todd’s ages is 34 years. Five years ago, the sum of twice... (answered by CubeyThePenguin,MathLover1)
Maine is older than Kylie. In 3 years, the sum of their ages will be twice the sum of... (answered by ankor@dixie-net.com)
1.)A girl is one-third as old as her brother and 8 years younger than her sister.The sum... (answered by Edwin McCravy)