The cards

Algebra Level 1

Adam and Bob have the same number of cards. After Adam sells 18 of his cards Bob has 4 times as much cards as Adam does. How many did they both have to begin with?

Assumptions:

-Adam didn't give any of his cards to Bob.

-Bob didn't buy or sell any cards.


The answer is 24.

Puzzlefizzy Is awesome by Puzzlefizzy Is awesome , 20, USA

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2 solutions

The equation should be 4(x-18)=x

Which means that 4x-72=x

Subtract x from both sides and you get 3x-72=0

Which is the came as 3x = 72

So x=24

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Dwight Davison
Sep 15, 2018
  • B= Bob / A = Adam
  • B = A
  • B = 4(B-18)
  • B = 4B-72
  • B-4B = -72
  • -3B = -72
  • -3B/-3 = -72/-3
  • B = 24 = A
0 Helpful 0 Interesting 0 Brilliant 0 Confused

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