Posted by becky on Monday, May 9, 2011 at 7:13am.
My mother and I are the same age – only the numbers are reversed (21,12 for example)
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 8:25am
Let 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 8:27am
mom'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
12 years ago mom was 72
and the daughter was 36 , check!
Answer This Question
More Related Questions
- Math - This year Grandma's age and Mother's age are the same but with the digits...
- Math - a mother is twice as old her daughter.she was six times her age twenty ...
- math - A. John is now 10 years older than Marcus. Three times John's age 5 years...
- math - Jack is twice as old as he was 5 years ago. His mother was then six times...
- math - A. Brad is 12 years older than Sam . If Brad were 8 years older than he ...
- Math - 2x represents that Clyde is twice (2 times) as old as Bonnie. 6 years ...
- Math - Gabriella is x years old.Her sister Felicia,is six years old than she is....
- math - Ten years ago,father was twelve times as old as his son and ten years ...
- Math - how do you solve? kim's mom is 47 years old. in 5 years her mother will ...
- math - A. A woman was 30 years old when her daughter was born.Her age is now 6 ...