SOLUTION: Sarah is eight more than four times as old as Denise. In 24 years the sum of their ages will be 116. How old is Denise now?
OPTIONS ARE:
12
56
60
13
Algebra.Com
Question 1001982: Sarah is eight more than four times as old as Denise. In 24 years the sum of their ages will be 116. How old is Denise now?
OPTIONS ARE:
12
56
60
13
Found 2 solutions by MathLover1, macston:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Sarah is eight more than four times as old as Denise.
...........eq.1
if in years the sum of their ages will be , we have
....eq.2
since left sides of eq.1 and eq.2 are same, equal the right sides
Denise is years old now.
and
check:
in years from now, will be
in years from now, will be
the sum will be
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
S=Sarah's current age; D=Denise's current age
.
(S+24)+(D+24)=116
S+D+48=116
S+D=68
S=68-D
.
S=4D+8
68-D=4D+8
60=5D
12=D
ANSWER: Denise is 12 years old.
.
CHECK:
S=68-D=68-12=56
Sarah is 56 years old.
.
S=4D+8
56=4(12)+8
56=48+8
56=56
RELATED QUESTIONS
Sarah is four more than four times as old as Denise. In 8 years the sum of their ages... (answered by Paul)
Sarah is 6 years more than 3 times as old as Denise. In 14 years the sum of thier ages... (answered by MathLover1,Earlsdon)
Ben is three more than two times ad old as Denise. In 17 years the sum of their ages will (answered by ewatrrr)
Ben is one more than two times as old as Denise. In 19 years the sum of their ages will... (answered by drj,MathTherapy)
Denise is six more than two times as old as Cheryl. In 21 years the sum of their two... (answered by josmiceli)
Brad is eight more than two times as old as Sarah. In 10 years the sum of their ages... (answered by stanbon)
Mark is 12 years older than Denise. In 6 years time Mark will be twice as old as Denise.... (answered by mareebsiddiqui)
Cheryl is three years more than three times as old as Ben. In 20 years the sum of their... (answered by lwsshak3)