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Adam and Hassan had same stamps. If Hassan gave 80 stamps to Adam, Adam would have twice as many stamps as Hassan. If Hassan gave 110 stamps to Adam, Adam would have thrice as many stamps as Hassan. How many stamps did both have altogether?

 Sep 27, 2021
 #1
avatar+35058 
+1

h-80 =1/2 (a+80)   

    so    h =1/ 2a +120

 

then

h-110 = 1/3 (a+110)   

    so    h = 1/3 a + 110/3 + 110

 

equate the h's

 

1/2 a+120 = 1/3 a + 110/3 + 110

1/6 a = 110/3 + 110 - 120

a = 160         then    h = 200                   <====== you can add them together cheeky

 Sep 27, 2021
 #2
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1. A + 80 --> 2

    H - 80 --> 1

2. A + 110 --> 3

    H - 110 --> 1

   ----------------------

    A + 80 --> 8

    H - 80 --> 4

    A + 110 --> 9

    H - 110 --> 3

   110 - 80 ÷ 9x - 8x

         30 = 1x

  Total = 12x

          = 12 × 30

          = 360 stamps

 Sep 27, 2021

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