A number theory problem by Dev Sharma

Number Theory Level 2

If 4^y - 615 = x^2 then find x + y = ?

Assume x and y are positive integers.


The answer is 65.

Dev Sharma by Dev Sharma , 20, India

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1 solution

Dev Sharma
Aug 19, 2015

We get

2^y + x = 123

2^y - x = 5

Add both

y=6

x=59

x + y = 65

1 Helpful 0 Interesting 0 Brilliant 0 Confused

You are fast! I was typing the solution. Good job Dev!

Nelson Mandela - 5 years, 9 months ago

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Thanks sir.

Dev Sharma - 5 years, 9 months ago

You might say that x and y are both positive integers or something in the question since x=-59 is also a solution and then x+y=-53

Jonathan Hocker - 5 years, 9 months ago

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