Answers

2015-05-08T17:47:10+05:30
Let the 2 concecutive no.s be x and x+1
Sum of their squares is 421 (given)
i.e., x² + (x+1)² = 421
x²+x²+2x+1=421
2x²+2x=421-1
2(x²+x)=420
x²+x=210
x²+x-210=0
x²+15x-14x+210=0
x(x+15) -14(x+15)
(x+15)(x-14)=0
x+15=0    or     x-14=9
x= -15  or  x=14
-15 is not a natural number
So, First number  x=14
 and second number = x+1 = 14+1 =15
Hence the 2 natural numbers are 14,15
2 5 2