Question

The difference between the squares of two consecutive numbers is 37. Find the numbers.

Answer 1

Answer:

Numbers = 18 , 19

Step-by-step explanation:

If the difference between the squares of two consecutive numbers is x, then the numbers are (x-1)/2 and (x+1)/2

⇒ (37-1)/2 and (37+1)/2

⇒ 36/2 and 38/2

Therefore the answer = 18 and 19.

Answer 2

Answer:

let the one no. be x

therfore other consecutive no. = x+1

atq:

(x+1)² -(x)² =37

Step-by-step explanation:

sol:

= (x+1)² -(x)² =37

= x²+1+2x -x² =37

= x²-x²+1+2x=37

= 1+ 2x = 37

= 2x = 37-1

= 2x= 36

= x=18

therefore 1 no. x= 18 then the other no. x+1 = 18+1 = 19.

(18+19=37)

hope it helps u!!