How to solve 2p- 2q = 120 ?

Dear Student,

2p - 2q = 120Now, 120 = 23 × 3 × 5, and so we divide throughout by 23 2p - 2q23 = 12023 2p23 - 2q23 = 15 2p-3 - 2q-3 = 15Here, we have to find two numbers which are powers of 2 and which have a difference of 15.These are 24 = 16 and 20 = 1. So, 16 - 1 = 15 = 24 - 20.So, 2p-3 = 24 and 2q-3 = 20 p - 3 = 4 and q - 3 = 0 p = 7 and q = 3

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  • 1
Pls tell a simpler way to find.
  • 2
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