The numbers are 54 and 36. Larger number = 54. Smaller number = 36.
Step-by-step explanation:
Step 1:
Let the numbers be x and y. Given their sum = 90 and difference = 18. Form equations out of it.
⇒ x + y = 90 ------ (1)
⇒ x - y = 18 ------- (2)
Subtract eq (2) from eq (1)
⇒ 2x = 108
⇒ x = 54
Step 2:
Find y.
⇒ y = 90 - x = 90 - 54 = 36
