Question

A number is fourth fifth of the other if their sum is 180 find the other number

Answer 1

Answer:

Given:

• A number is fourth fifth of the other
• Their sum is 180

To find:

• the other number

Solving Question:

     We are given that a number is 4/5 of the next.Let 'x' and 'y' the numbers.

(Here we have to find 'y' )

⇒ x = 4/5*y .....................equ(1)

Again, their sum accounts for 180

⇒ x+y = 180 ...........equ(2)

Solution:

Substitute the value of equ(1) in equ(2)

⇒ $\dfrac{4}{5}y + y =180\\\\\implies 4y+5y=900\:(multiply\:by\:5)\\\\\implies 9y=900\\\\\implies\boxed{\bold{ y =100}}$

Substitute the value of 'y' in equ(2)

⇒x+y = 180

⇒ x + 100 = 180

⇒ x = 80

Thus, the other number is 100