Question

4/5of a number is 20 more than 2/3 of the number. Find the number .​

Answer 1

Step-by-step explanation:

Let the number required is x

According to the question we can write as

(4/5)x - 20 = (2/3)x

On rearranging,](4/5)x−(2/3)x=20

Now taking the L.C.M of 3 and 5 is 15

(12x−10x)/15=20

On cross multiplication,

2x= 300

x= 150

so the required number is 150

Answer 2

Answer :-

The required number is 150.

Step-by-step explanation

To Find :-

• The number.

★ Solution

Given that,

• 4/5 of a number is 20 more than 2/3 of a number.

Assumption

Let us assume the number as "n"

Therefore,

• 4/5n = 2/3n + 20

⟹ 4/5n = 2/3n + 20

⟹ 4/5n - 2/3n = 20

⟹ 2/15n = 20

⟹ 2n = 20 × 15

⟹ 2n = 300

⟹ n = 150

After simplifying, we got the value of n as 150.

As we assumed the value of the number as n,

Therefore,

• The number = (n) = 150

Hence, The value of n is 150.

____________________________

V E R I F I C A T I O N :-

• 4/5n = 2/5n + 20

We have,

L.H.S = 4/5n

R.H.S = 2/5n + 20

By simplifying the L.H.S :-

⟹ 4/5n

⟹ 4/5 × n

⟹ 4/5 × 150

⟹ 4 × 30

⟹ 120

By simplifying the R.H.S :-

⟹ 2/3n + 20

⟹ 2/3 × n + 20

⟹ 2/3 × 150 + 20

⟹ 2 × 50 + 20

⟹ 100 + 20

⟹ 120

Now, L.H.S = R.H.S

Hence, Verified!