Question

Find the numbersdifference between two numbers is 2 and the difference between their squares is 28. Find the numbers​

Answer 1

Answer:

Hey mate! Here's your answer:

Step-by-step explanation:

Let the numbers be a and a - 2. According to the Question,

a² - (a - 2)² = 28

a² - (a² - 4a + 4) = 28

a² - a² + 4a - 4 = 28

4a - 4 = 28

4a = 32

a = 8.

So the two numbers are 8 and 6.

Verification: 8 - 6 = 2.

8² - 6² = 64 - 36 = 28.

Hence verified!

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Answer 2

Step-by-step explanation:

Let, the first and greater number be a.

So, the second number = a - 2

According to the question,

(a)² - (a - 2)² = 28

or,a² - a² + 4a - 4 = 28 [(a-b)² = a² - 2ab + b²]

or,4a - 4 = 28

or,4(a - 1) = 28

or, a - 1 = 7

or, a = 8

So, the first and greater number is 8 and the second and smaller number = (8-2) = 6