SOLUTION: Amy is 12 years more than half Penny's age in 7 years Amy will be 22 years less than two times Penny's age. What are their ages?
Algebra.Com
Question 1114597: Amy is 12 years more than half Penny's age in 7 years Amy will be 22 years less than two times Penny's age. What are their ages?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let a = Amy's present age
let p = Penny's
:
Write an equation for each statement
:
Amy is 12 years more than half Penny's age
a = p + 12
in 7 years Amy will be 22 years less than two times Penny's age.
a + 7 = 2(p+7) - 22
a = 2p + 14 - 22 - 7
a = 2p - 15
in the first equation, replace a with (2p-15)
2p - 15 = p + 12
2p = p + 12 + 15
2p = p + 27
2p -p = 27
1.5p = 27
p =
p = 18 yrs is Penny's age
then
a = 2(18) - 15
a = 21 yrs is Amy's age
:
:
Check in the statement
"Amy is 12 years more than half Penny's age
21 = (18) + 12
21 = 9 + 12
RELATED QUESTIONS
amy is 12 years more than half a penny's age in 7 years amy will be 22 years less than... (answered by josgarithmetic)
Hansel is 12 years less than four times
Gretel's age. In 6 years, Hansel''s age will
be (answered by Alan3354)
Amy is one third the age of her mother.
In 12 years time, Amy will be half the age of (answered by ankor@dixie-net.com,MathTherapy)
g. Penny’s age is one third her father’s age and in 13 years time her age will be half of (answered by stanbon)
My father is 12 years more than twice my age. In 16 years, my father’s age will be 30... (answered by VFBundy)
My father is 12 years more than twice my age. In 16 years, my father’s age will be 30
(answered by greenestamps)
Amy is 5 years younger than Ron. Four years later , Ron will be 2 times older than Amy.... (answered by ikleyn,josgarithmetic)
John is twenty years younger than Amy, and in five years' time he will be half her age.... (answered by ewatrrr,algebrahouse.com)
Peters current age is two years less than twice Greg’s current age. In 6 years, two times (answered by josgarithmetic)