Question

Sona and mehr have some toffees.
If sona gives 30 toffees to Mehr,then mehr will have twice the toffees left with sona. If Mehr gives 10 toffees to Sona,then Sona will have twice as much as left with Mehr. How many toffees does each have?

VERY IMPORTANT QUESTION FOR THE BOARDS

Answer 1

Here is your answer

let Sona have x toffes

Meher have Y toffees

As given in the question:

Y + 30 = 2 ×( x - 30)

y+30=2x-60

2x-y=90.............(1)

x+10=2(y-10)

x+10=2y-20

x-2y=-30.......................(2)

multiplying equation one by 2

4x-2y=180

X-2y= -30.…….……(2)

- + +

______________

3x=210

x=70

Substituting x =70 in eq.(1)

2(70)-y=90

140-y=90

y=50

So sona have 70 toffes and mehr have 50 toffees.

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I hope it will help you