Question

The difference between the squares of two
consecutive numbers is 35, the numbers are
1) 14, 15 2) 15,16 3) 17,18 4) 18,19​

Answer 1

Answer:

The consecutive terms whose difference of squares equal to 35 are 17 and 18.

Option 3 is correct.

Step-by-step explanation:

Let the consecutive terms be x and (x + 1).

Now, according to the Question,

(x + 1)² - x² = 35

Using the identity,

(a + b)² = a² + 2ab + b²

x² + 2(x)(1) + 1² - x² = 35

x² + 2x + 1 - x² = 35

2x + 1 = 35

2x = 35 - 1

2x = 34

x = 34/2

x = 17

Then,

x + 1 = 17 + 1 = 18

Hence,

The consecutive terms whose difference of squares equal to 35 are 17 and 18.

Hope it helped and believing you understood it....All the best.