Grandfather 4754

Grandma had apples. When she gave seven to her grandfather, they both had the same. When Grandpa gave five apples to Grandma, she had three more than Grandpa. How many apples did each initially have?

Correct answer:

b =  31
d =  17

Step-by-step explanation:


b-7 = d+7
3(d-5) = b+5

b-7 = d+7
3·(d-5) = b+5

b-d = 14
b-3d = -20

Row 2 - Row 1 → Row 2
b-d = 14
-2d = -34


d = -34/-2 = 17
b = 14+d = 14+17 = 31

b = 31
d = 17

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