Question 438233
The age of grandmas two grandkids are the same as the two digit of her age. The three of them are 73 years old all together,how old is grandma?
:
Two kids, ages x & y
then
10x + y = grandma's age
:
"The three of them are 73 years old all together"
x + y + (10x + y) = 73
11x + 2y = 73
2y = -11x + 73
y = {{{-11/2}}}x + {{{73/2}}}
y = -5.5x + 36.5
The value for x has to be less than 6 avoid a negative number or a decimal
There is only one single digit positive solution to this equation
x = 5, then y = 9
:
Grandma is 59 yrs old:
:
Check: 5 + 9 + 59 = 73