Question

if fourth-fifth of a number is more than three-fourth of a number by 4 .The number is
a.40
b.80
c.25
d.75​

Answer 1

Answer:

Pls mark as brainliest if it helps.

Ans. B

Step-by-step explanation:

We will first let the no. be x .

{ Then we start forming equations}

[ It says that 4/5 of x is 4 more than 3/4 of x ]

[ Which means 4/5 * x - 4  = 3/4 * x or 4/5 * x = 3/4 * x + 4 ]

Hence,

4/5 * x = 3/4 * x + 4

4/5 * x = 3x  + 4 * 4 / 4

4x / 5 = 3x + 16 / 4 [ We have added  3x  + 4 * 4 / 4  ]

4x * 4 = ( 3x + 16 ) * 5 [ We have cross- multiplied the numbers]

16 x = 15x + 80

16x - 15x = 80

Hence, x = 80