SOLUTION: Ann's age is seven-tenths of Bill's age. In 4 years Ann's age will be eight-elevenths of Bill's age. How old is Bill now? I am having a difficult time with setting up the equa

Question 323329: Ann's age is seven-tenths of Bill's age. In 4 years Ann's age will be eight-elevenths of Bill's age. How old is Bill now?
I am having a difficult time with setting up the equation due to the fractions. Any and all help will be appreciated. Thank you.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let a = Ann's present age
Let b = Bill's present age
:
Write an equation for each statement:
:
"Ann's age is seven-tenths of Bill's age."
a = b
or
a = .7b
:
"In 4 years Ann's age will be eight-elevenths of Bill's age."
a + 4 = (b + 4)
Multiply both sides by 11
11(a+4) = 8(b + 4)
11a + 44 = 8b + 32
11a = 8b + 32 - 44
11a = 8b - 12
Replace a with .7b
11(.7b) = 8b -12
7.7b = 8b - 12
12 = 8b - 7.7b
12 = .3b
b =
b = 40 is Bills age
;
:
Find a
a = .7(40)
a = 28 is Anns age
check solution in the statement:
"In 4 years Ann's age will be eight-elevenths of Bill's age."
28 + 4 = (40+4)
32 = *44
32 = 32
RELATED QUESTIONS
Ann's age is seven-tenths of Bill's age. In 4 years Ann's age will be eight-elevenths of... (answered by ankor@dixie-net.com)

Ann's age is seven-tenths of Bills age. In 4 years Ann's age will be eight-elevenths of... (answered by josmiceli)

Anne's age is seven-tenths of Bills age. In 4 years Anne's age will be eight-elevenths of (answered by ankor@dixie-net.com)

Ann's age is seven-tenths of Bill's age. In 4 years Ann's age will be eight-elevenths of... (answered by stanbon,josmiceli)

Ann's age is seven-tenths of bills age. In 4 years Ann's age will be eight-elevenths of... (answered by Fombitz)

Ann's age is seven tenths of Bill's age. In 4 years Ann's age will be eight-elevenths of... (answered by ankor@dixie-net.com)

Ann's age is seven-tenths of Bill's age. In 4 years ann's age will be eigth-elevenths of... (answered by lwsshak3,stanbon)

Ann's age is seven tenths of Bill's age. In 4 years Ann's age will be eight elevenths of... (answered by checkley71)

Ann's age is seven-tenths of bills age. In four years Ann's age will be eight-elevenths... (answered by JBarnum)

40. Michael�s age is seven-tenths of Richard�s age. In four years Michael�s age will be... (answered by TimothyLamb,MathTherapy)