SOLUTION: Ann's age is 7/10 of Bill's age. In 4 years Ann will be 8/11 of Bill's age. How old is Bill now?

Question 89988: Ann's age is 7/10 of Bill's age. In 4 years Ann will be 8/11 of Bill's age. How old is Bill now?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A = Ann's age now; B = Bill's age now
:
Just write what it says:
"Ann's age is 7/10 of Bill's age."
A = .7B
:
"In 4 years Ann will be 8/11 of Bill's age."
(A+4) = (8/11)(B+4)
:
Substitute .7B for A and you have:
.7B+4 = (8/11)(B+4)
:
Multiply equation by 11:
11(.7B+4) = (11)(8/11)(B+4)
:
and you have:
7.7B + 44 = 8(B+4)
:
7.7B + 44 = 8B + 32
;
44 - 32 = 8B - 7.7B
:
.3B = 12
:
How old is Bill now?
B = 12/.3
:
B = 40 yrs old
:
:
Check: that makes A = .7*40 = 28 yrs old
Using the statement, "In 4 years Ann will be 8/11 of Bill's age."
28 + 4 = 8/11(40 + 4)
32 = 8/11(44); proves our solution
:
Did this help?

RELATED QUESTIONS
ann is 4 years older than toby bill is twice toby's age if the sum of their ages is 28... (answered by josgarithmetic,ikleyn)

ann is 7/10 of bob's age. in 4 years and will be 8/11 of bob's age. How old is Bob... (answered by JBarnum)

's age is 7/10 onicolef joseph's age. In 4 years, nicole's age will be 8/11 of Joseph's... (answered by Cromlix)

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