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? 28,33,40,or 68

Question 246731: 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?
28,33,40,or 68
Found 2 solutions by College Student, stanbon:
Answer by College Student(505) (Show Source): You can put this solution on YOUR website!
Ann's age is seven-tenths of bill's age.
Let Bill = x
Let Ann = 7/10 x
.
If in 4 years ann's age will be eight-elevenths of bill's age, our equation becomes:

Let's start finding common denominators to be able to add fractions. Then we will worry about solving for x.

If we multiply by 110 on both sides of the equation, we get:

Now solve for x:

<-- Bill's age.
.
Remember to check your answer by plugging this value in the original equation: Both sides of the eqn must equal to each other.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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?
28,33,40,or 68
------------
Let ann be "a".
Let bill = "b".
------
a = (7/10)b
(a+4) = (8/11)(b+4)
-----------
Substitute for "a" and solve for "b":
(78/10)b + 4 = (8/11)(b+4)
Multiply thru by 110 to get:
11*7b + 440 = 8*10(b+4)
77b + 440 = 80b + 320
3b = 120
b = 40 (Bill's age)
==================================
Cheers,
Stan H.

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