The sum of two numbers is 181 and their difference is 37.Find the larger of the two integers

  Larger First number: 109

  Second number: 72

Step-by-step explanation:

x + y = 181

x - y = 37

x = 37 + y

(37 + y) + y = 181

37 + y + y = 181

37 + 2y = 181

2y = 144

y = 72

x - y = 37

x - 72 = 37

x = 109

Check:

x + y = 181

  109 + 72 = 181

  181 = 181

x - y = 37

  109 - 72 = 37

  37 = 37

Larger number is x = 109