Monday

September 15, 2014

September 15, 2014

Posted by **Anonymous** on Tuesday, October 25, 2011 at 7:10pm.

10x + y = husband's age

10y + x = wife's age

(10x+y) - (10y+x) = ((10x+y) + (10y+x))

10x + y - 10y - x = (10x + y + 10y + x)

9x - 9y = (11x + 11y)

9x - 9y = 11(x + y)

9x - 9y = x + y

9x - x = 9y + y

8x = 10y

x = y

x = 1.25y

How do you get the answer Husband is 54, wife is 45. I understand how to set it up and solve it, now how do i figure out their ages?

- Algebra 2 -
**Steve**, Wednesday, October 26, 2011 at 5:17am(10x+y) - (10y+x) = ((10x+y) + (10y+x))/11

11(9x - 9y) = 11x + 11y

9x - 9y = x + y

8x = 10y

4x = 5y

Both x and y are integers less than 10

Since 5 divides 5y, 5 must divide 4x. That means x = 5. Thus, y=4.

**Answer this Question**

**Related Questions**

7th grade algebra - the difference between a father's age and his son's age if ...

7th grade math - the difference between a father's age and his son's age if the ...

math - Nathan's age can be described as 5 more than 3 times his son's age. If ...

Geography - we were asked to compare two countries using a chart: children and ...

statistics - 5. The ages of husbands and wives in a community were found to have...

statistics - 5. The ages of husbands and wives in a community were found to have...

senior citizens - How did senior citizens lived in the middle ages? It was the ...

algebra - if for times catherines age is sabtracted from 5 times joses age the ...

maths - a teen age boy wrote his own age after his father's from this new four ...

Algebra - Ella is twice Bella's age, and Stella is three times Bella's age. The ...