Question

Divide 84 into two parts such that 1/4 of one part is equal to 1/3 of the other part​

Answer 1

The answer is 48 and 36.

Step-by-step explanation:

Let one part=x

Second part=84-x

1/4 of x=1/3 of (84-x)

3x=336-4x

3x+4x=336

7x=336

x=48

84-x=36

Answer 2

Answer:48 and 36

Step-by-step explanation:

let the two numbers be x and y.

Therefore, 84=x+y

According to the question :-

x/4=y/3

x=4y/3   -------- 1

Since,

84=x+y

Therefore,

84= 4y/3 + y    (By 1)

84= (4y+3y)/3

252=7y

y=252/7

∴ y=36 ------- 2

Substituting 2 in 1 :-

x=4(36)/3

x=144/3

∴ x=48

Therefore the two numbers are 36 and 48.