# I've got twice sweets the you and if we eat one each I will have thrice of you. How many sweets did each have?

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Two friends were working out how many sweets they had. One said I've got twice as many as you and if we eat one each I will have three times as many as you. How many did each have?

posted Aug 20, 2017

They have 4 and 2 sweets.
After eating 1 they have 3 and 1 sweets.

I have 4 and you have 2

Let x be the number of sweets one had, and y be the number of sweets the other had.........
then;
x = 2y...................................... (i)
after each eating one, they remain with (x - 1) and (y - 1)

So;
x - 1 = 3(y - 1)
= 3y - 3
so; x = 3y - 2.................. (ii)

substitute eqn (i) into eqn (ii), we have;
2y = 3y - 2

Which means; y = 2...............(iii)

applying eqn (iii) to eqn (i)................ eqn (i) becomes

x = 2 (2)
= 4.

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