Question

the difference between two-third of a number and one-fourth of it is 50.find the number

Answer 1

LET number=x
2/3 of number=2/3x
1/4of number=1/4x
Difference=50
a/q
2/3x-1/4x=50
8-3/12x=50
5/12x=50
x=50×12/5
x=120
Number=120

Answer 2

❊ Solution ❊

Let's assume the number as x

According to Question,

2x / 3 - x / 4 = 50

⇒ (8x - 3x) / 12 = 50

【LCM of 3 & 4 = 12】

⇒ 5x = 12(50)

⇒ 5x = 600

⇒ x = 600 / 5

⇒ x = 120

Hence, the required number is 120

✿ Some things to remember ✿

✧ Two-third = 2 / 3

✧ One-fourth = 1 / 4

✧ "Of" = Multiply 【Sign "x"】

✪ Be Brainly ✪