Question

One third of a munber is two more than one-fourth of its successor. Find the number.​

Answer 1

Answer:

Step-by-step explanation:

Let the number be x.

Its successor is x + 1.

Given that one-third of a number is two more than one-fourth of its successor.

= > (1/3) of x = (x + 1)/4 + 2

LCM = 12.

= > 4x = 3(x + 1) + 24

= > 4x = 3x + 3 + 24

= > 4x - 3x = 27

= > x = 27.

Therefore, the number is 27.

Hope this helps!

Answer 2

Let the number be = x

One third of the number = 1/3 of x = x/3 ----- (1)

successor of x = x+ 1

one-fourth of its successor = 1/4 of (x + 1)

= x + 1

4

two more than one-fourth of its successor = x + 1 + 2

4

= x + 1 + 8

4

= x + 9 ------ (2)

4

One third of a munber is two more than one-fourth of its successor

(1) = (2)

x = x + 9

3 4

4x = 3(x + 9)

4x = 3x + 27

4x - 3x = 27

x = 27

The number is 27