SOLUTION: ANN'SAGE IS 7/10TH OF BILL'S AGE. IN 4 YEARS ANN'S AGE WILL BE 8/11THS OF BILL'S AGE. HOW OLD IS BILL?

Question 204654: ANN'SAGE IS 7/10TH OF BILL'S AGE. IN 4 YEARS ANN'S AGE WILL BE 8/11THS OF BILL'S AGE. HOW OLD IS BILL?
Found 2 solutions by alicealc, lazi:
Answer by alicealc(293) (Show Source): You can put this solution on YOUR website!
Ann's age = A
Bill's age = B

A = 7/10 * B
In 4 years:
A + 4 = 8/11 * (B + 4)
7/10 * B + 4 = 8/11 * B + 32/11
7/10 * B - 8/11 * B = 32/11 - 4
(77/110 - 80/110) * B = 32/11 - 44/11
(-3/110) * B = -12/11
B = -12/11 * -110/3
B = 40
A = 7/10 * 40 = 28

so,Bill is 40 years old now

Answer by lazi(15) (Show Source): You can put this solution on YOUR website!
a=Ann's age
b= Bill's age
a= (7/10)b = (7b)/10
in four years means
a + 4 = (8/11)(b+4)
now we know what a is in terms of b, we just plug it into the formula above
(7b)/10 + 4 = (8b)/11 + 32/11
solve for b
(7b)/10 + 4 = (8b)/11 + 32/11
-(7b)/10 on both side
-32/11 on both side
_____________________________
12/11 = (3/110)b
times 110/3 on both side
_________________
40 = b
Bill's age is 40.

RELATED QUESTIONS
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... (answered by ankor@dixie-net.com)
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)
Adam, Bill and Charles are brothers. Adam is twice as old as Bill, and Bill is 12 years... (answered by josgarithmetic,MathTherapy)
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)
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 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)