Question

Difference between two numbers are 4 and difference between their square are 80 So find numbers ?​

Answer 1

Answer:

answer is 8

Step-by-step explanation:

like difference means subtraction

if we subract 8-4 is 4

so and it's square is 80

thank you

Answer 2

Let the numbers be x and y

So difference between x and y is 4.

Hence,

x - y = 4 ...[1]

Also, the difference between their square is 80.

Hence,

x² - y² = 80 ...[2]

Since, a² - b² = (a-b)(a+b)

Hence,

x² - y² = (x - y)(x + y)

From [2]

→ 80 = (x - y)(x + y)

From [1]

→ 80 = 4(x + y)

→ 80/4 = x + y

→ 20 = x + y ...[3]

Adding [1] and [3]

(x + y) + (x - y) = 20 + 4

→ x + y + x - y = 24

→ 2x = 24

→ x = 24/2

→ x = 12 ...[4]

From [3]

→ x + y = 20

From [4]

→ 12 + y = 20

→ y = 20 - 12

→ y = 8

Hence, the numbers are 12 and 8.