Let the number be a and b
Then, (a-b) = (a² - b²) / a+b

Correct Option: B

Let the number be a and b
Then, (a-b) = (a² - b²) / a+b
= 145/29
= 5

Let the number be a and b.
Then, (a + b) = (a² -b²) / (a-b)

Correct Option: A

Let the number be a and b.
Then, (a + b) = (a² -b²) / (a-b)
= 135/5
= 27

Let the required fraction be x/y
Then, x/(y + 1) = 1/2
⇒ 2x - y = 1 ...(1)
(x + 1) / y = 1
⇒ x - y = -1 ...(2)

Correct Option: C

Let the required fraction be x/y
Then, x/(y + 1) = 1/2
⇒ 2x - y = 1 ...(1)
(x + 1) / y = 1
⇒ x - y = -1 ...(2)
Solving Eq. (1) and (2)
We get x = 2, y = 3
∴ The fraction is 2/3

Let the number be x,
Then, 4x/5 - 2x/3 = 8

Correct Option: B

Let the number be x,
Then, 4x/5 - 2x/3 = 8
⇒ (12x - 10x) / 15 = 8
⇒ 2x = 120
∴ x = 60

Let the number be N .
Then, 1/4 of 1/3 of 1/2 of N = 15
⇒ 1/4 x 1/3 x 1/2 x N = 15

Correct Option: D

Let the number be N .
Then, 1/4 of 1/3 of 1/2 of N = 15
⇒ 1/4 x 1/3 x 1/2 x N = 15
⇒ N/24 = 15
⇒ N = 24 x 15 = 360 .