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How many pairs of natural numbers are there, the difference of whose squares is 45? a) 3 c) 4 b) 5 d) 6

How many pairs of natural numbers are there, the difference of whose squares is 45?
a) 3             c) 4
b) 5             d) 6

Grade:12

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
7 years ago
a​2 - b​2 =(a-b) (a+b) = 45 = 1*45
= 3*15
= 9*5
just solve these cases and seefrom which natural number are coming.
for eg a-b=5 a+b=9
from this a=7and b=2

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