Question

If four-fifth of a number is 36 more than its two-third then the number is equal to
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Answer 1

Answer:

Step-by-step explanation:

Let the number be x

According to given condition

4/5 of x is 36 more than 2/3 of x

Which is

4/5x = 36+ 2/3x

4/5x-2/3x = 36

(12x-10x)/15= 36. ...( By cross multiplying and solving fraction)

2x= 36×15

2x= 540

x=540/2

x=270

The number is 270.

Answer 2

Answer:

the number is 270

Step-by-step explanation:

let the number be N

(4/5)×N=36+(2/3)×N

(4/5)×N=(108 + 2N)/3

3×(4/5)×N =108 + 2×N

(12/5)×N - 2N = 108

12N -10N =108×5

N = 540/2

N = 270

PROOF:

(4/5)×270= 216

(2/3) ×270 =180

and

216- 180 = 36

(4/3)×270 - (2/3)×270= 36

(4/3)×270 = (2/3)×270 +36