SOLUTION: Esther's age is one year more than twice Isabela's age. Eight years ago, the sum of their ages was equal to Esther's age 10 years hence. How old are they now?
Algebra.Com
Question 949692: Esther's age is one year more than twice Isabela's age. Eight years ago, the sum of their ages was equal to Esther's age 10 years hence. How old are they now?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
e = Esthers age
i = Isabel's age
:
Write an equation for each statement.
:
Esther's age is one year more than twice Isabela's age.
e = 2i + 1
:
Eight years ago, the sum of their ages was equal to Esther's age 10 years hence.
(e-8) + (i-8) = e + 10
e + i - 16 = e + 10
e + i = e + 10 + 16
e + i = e + 26
subtract e from both sides; therefore
i = 26 yrs is Isabel's age
then
e = 2(26) + 1
e = 53 yrs is Esther's age
:
;
see if that checks out in the statement
"Eight years ago, the sum of their ages was equal to Esther's age 10 years hence."
45 + 18 = 53 + 10
63 = 63
:
How old are they now? 26 and 53
RELATED QUESTIONS
rizza's age is one year more than twice norrie"s ge. eight years ago, the sum of thier... (answered by Mathtut)
rizza's age is one year more than twice norries's age. eight years ago, the sum of their... (answered by ankor@dixie-net.com)
Rizza age is 1 year more than twice Norie's age. eight years ago the sum of their ages... (answered by ccs2011)
Four times Polly’s present age is 4 more than eight times Olive’s age 2 years ago.... (answered by greenestamps)
The sum of Alan’s age and Patrick’s age is 58. Eight years ago, Alan was twice as old as... (answered by Seutip)
Phoebe’s age is 5 more than twice her brother’s age 10 years ago. The sum of their... (answered by trevorgiehl)
Rizza's age is one year more than Norie's age. Eight years ago, the sum of their ages was (answered by mathstutor494)
Two times the mother’s age is four more than eight times her daughter’s age. Five... (answered by josgarithmetic,ikleyn)
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)