Monday

July 28, 2014

July 28, 2014

Posted by **becky** on Monday, May 9, 2011 at 7:13am.

Twelve years ago my mom was twice as old as me.

So how old is my mommy and how old am I?

- math -
**drwls**, Monday, May 9, 2011 at 8:25amLet the two digits in the ages be x and y. Your mother's age now is 10x + y. Yours is 10 y + x.

Twelve years ago,

10 x + y -12 = 2 (10 y +x-12)

10 x + y = 20y + 2x -12

19y = 8x + 12

Try integers 0 through 9 for y and see which gives an integer for x.

Only this combination works:

y = 4, x = 8

Current ages are 48 and 84.

Twelve years ago they were 36 and 72

- math -
**Reiny**, Monday, May 9, 2011 at 8:27ammom's age -- 10x + y

daughter ---- 10y + x

10x + y -12 = 2(10y +x - 12)

8x -19y = -12

now both x and y are probably integers, and y has to be less than x

I tried y = 1,2,3,4 and

y = 4 worked

when y = 4, x = 8

so mom is now 84 and the daughter is 48

check :

12 years ago mom was 72

and the daughter was 36 , check!

**Related Questions**

Math - Sean's mom was 27 years old when he was born. When Sean is 14 years old ...

math - A. Brad is 12 years older than Sam . If Brad were 8 years older than he ...

math - A. John is now 10 years older than Marcus. Three times John's age 5 years...

Mathematics-please help quick!! - Harry is twice as old as Doyle. Doyle's age is...

math - A. A woman was 30 years old when her daughter was born.Her age is now 6 ...

Math - 2x represents that Clyde is twice (2 times) as old as Bonnie. 6 years ...

math - Sally is 54 years old and her mother is 80, how many years ago was Sally’...

math - Jack is twice as old as he was 5 years ago. His mother was then six times...

age problem (math) - Nila is now x years old. 3 years ago, her brother ricky was...

algebra - juan is 8 years than his sister rosa. one day, he tells rosa that he ...