Question

Two children had 110 marbles between them. After one child had lost half her marbles

and the other had lost 20 they had an equal number. How many marbles did each child
start with and how many did they finish with?

Answer 1

1 child - 60 another child - 50

Explanation:

we start from the end. they had a equal number.

child A lost half therefore we give them another half having 2 units as shown in the diagram. child B had 1 unit plus 20 because he lost 20 which total adds up to 110. from there you have

3 units + 20 = 110

3 units = 90

1 unit = 30

since A has 2 units,

30 × 2 = 60

child A has 60.

since B has 1 unit plus 20

30 + 20 = 50