Question

What is the sum of two consecutive numbers the difference of whose square is 19?

Answer 1

Hi Mate !!


Let the 1st no. be x
It is given that the nos.are consecutive then the other no. is x + 1


• Difference of Square is 19

( x + 1 )² - x² = 19


[ Using identity ( a + b )² = a² + 2ab + b² ]

x² + 2x + 1 - x² = 19

2x = 19 - 1

2x = 18

x = 9

So, the 1st no.is ( x ) :- 9
2nd no. is ( x + 1 ) :- 10

• Sum of two consecutive no. is :-
9 + 10 = 19 !!

Answer 2

19 is the answer.....