Question

four fifth of a number is 10 more then two thirds of the number.find the number

Answer 1

Let the number be x
4/5x = 2/3x + 10
4/5x = (2x + 30)/3
3 (4x) = 5(2x + 30)
12x = 10x + 150
12x - 10x =150
2x = 150
X = 150/2
X = 75
Therefore, the required number is 75.

Answer 2

Let the no. be X
So 4/5X=2/3X+10
4/5X-2/3X=10
(4*3-5*2)/5*3X=10
2/15X=10
X=15*10/2
X=75