Question

If the difference between 3/4 and 4/7 of a number is 100, then the number is (a) 520 (b) 500 (c) 560 (d) 540

Answer 1

(d) 560

Explanation:

Let x be the "number." We are told that "difference between 3/4 and 4/7 of a number is 100." This can be written as:

(3/4)x - (4/7)x = 100

(21/28)x - (16/28)x = 100

(5/28)x = 100

x = (28/5)*(100)

x = (28)*(20)

x = 560