SOLUTION: a grandfather's age is equal to the digits of his two grandchildren. And his age plus their ages equals 83. How old is he?

Question 827937: a grandfather's age is equal to the digits of his two grandchildren. And his age plus their ages equals 83. How old is he?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a grandfather's age is equal to the digits of his two grandchildren.
And his age plus their ages equals 83.
How old is he? \:
Let a = the 1st digit of grandpa's age & the age of one of the grandchildren
Let b = the 2nd digit of grandpa's age & the age of the other grandchild
then
10a + b = grandpa's age
" his age plus their ages equals 83." therefore:
10a + b + a + b = 83
11a + 2b = 83
2b = -11a + 83
b =
We know that a has to be a single digit, 7, 6 would make b too much
Lets try a = 7
b =
b =
b = 3
Grandpa is 73, grand-kids are 7 and 3
RELATED QUESTIONS
how old is jack and kylie's grandfather? the digits of his age add to 15, his age is an... (answered by josgarithmetic,ikleyn)

Julio's grandfather is 3 times his age. the total sum of their ages is 92. how old is... (answered by stanbon)

The average age of a grandmother, a grandfather, and 7 grandchildren is 28. The average... (answered by Fombitz)

Malcolm�s mother is 27 years older than he is and their ages are both two-digit numbers.... (answered by mananth)

Chad and his grandfather both had birthdays last week. The sum of their ages is 120. His... (answered by josgarithmetic)

the sum of grandfather age and jimmy's age is 66. Three years later grandfather's age... (answered by josgarithmetic)

Please help with this question: Sara asked her grandfather how old he was. He replied... (answered by checkley71)

Someone please help me!!! Three generations. Edwin, his father, and his grandfather... (answered by josgarithmetic,greenestamps)

Ed, his father, and his grandfather häve an average age of 53. One-half of his... (answered by Boreal)