Question 585879
Let the number be x.

Difference of the number and 5 = x -5

2 times the difference of the number and 5 = 2(x - 5)
3 times the difference of the number and 5 = 3(x - 5)

Sum of 2 times and 3 times the difference of the number and 5 = 2(x - 5)+ 3(x-5)
= 5( x- 5)

Difference of the number and 1 is = x -1
4 times the difference of the number and 1 is = 4 (x -1)

So,  5 (x -5) = 4(x -1)
or  5x - 25 = 4x - 4
or  5x - 4x - 25 = -4
or  x - 25 = -4
or  x = 25 -4
or  x = 21

Hence, the number is 21