Hi Maha,
Let x = the smaller number and then describe the larger number in terms of x
so
larger number is 3 times the smaller plus 15
3x + 15 = larger (this says 3 times the smaller plus 15)
now add them together
x + 3x + 15 = 63
4x + 15 = 63
4x = 48
x = 12 (smaller number)
3x + 15
3(12) + 15
36 + 15
51 (larger number)
12 + 51 = 63 (it checks out)
Hope this helps