The answer is 50 & 24
x - the bigger number
y - the smaller number
The sum of a number and two times a smaller number is 98:
x + 2y = 98
The bigger number is 22 less than three times the smaller number:
x = 3y - 22
x + 2y = 98
x = 3y - 22
________
3y - 22 + 2y = 98
5y - 22 = 98
5y = 98 + 22
5y = 120
y = 120/5
y = 24
x = 3y - 22
x = 3 * 24 - 22
x = 72 - 22
x = 50
