Question

The difference between the squares of two consecutive numbers is 101. Find the numbers.

Answer 1

answer:

• (x+1)²-x²=101
• x²+2x+1²-x²=101
• 2x+1=101
• 2x=101-1
• 2x=100
• x=100/2
• x=50
• x+1=51

:. numbers are 50&51

Answer 2

Answer:

Answer:

One consecutive number = 50

The other consecutive number  = 51

Step-by-step explanation:

Let one of the consecutive number = x

Let the other consecutive number = x+1

So,

According to the question:-

(x+1)^2-(x)^2 = 101

=> x^2 +2x +1 -x^2 = 101

=> 2x = 100

=> x = 50

Hence,

One consecutive number = x = 50

The other consecutive number = x+1 = 51