Freddy and Frankie want to know their grandmother's age. She tells them that the digits of their age make up her age. She also tells them that their age plus her age total 83. What is the age of the grandmother?

Question

Please explain this question step by step.

Answer 1

It appears that the two boys are less than 10, since adding up all the ages gives only 83

Granny cannot be less than 83-17=66

66+8+9=83
67+7+9=83
68+6+9=68+7+8=83
69+5+9=69+6+8=83
71+5+7=83
72+4+7=72+3+8=72+2+9=83
73+3+7=83 WE HAVE A WINNER!

Answer 2

Thanks Steve