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Samuel and Jimmy had a total of 1860 stamps. After Samuel gave 275 stamps to Jimmy, Samuel still had 344 more stamps than Jimmy. How many stamps did Jimmy had at first?

Let S be the number of stamps Samuel had.

Let J be the number of stamps Jimmy had.

Then,

S + J = 1860

Also,

(S – 275) = (J+ 275) + 344      (After Samuel gave 275 stamps to Jimmy,  ...)

Our two equations then are,

S + J = 1860

(S – 275) = (J+ 275) + 344

Rearranging the above,

S + J = 1860

S – J = 894

Adding together the two eqns gives us,

2S = 2754

S = 1377

J = 483

by Level 11 User (81.5k points)

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