Answer:
- The smaller number ⇒ y = 36
- The larger number ⇒ x = y + 12 = 36 + 12 = 48
Step-by-step explanation:
- Let the larger number be = x
- Let the smaller number be = y
As the larger number is twelve more than a smaller, so
x = y + 12
As the sum of larger and smaller numbers is 84, so
x + y = 84
now substituting x = y + 12 in th equation x + y = 84
x + y = 84
(y + 12) + y = 84
2y + 12 = 84
subtract 12 from both sides
2y + 12 - 12 = 84 - 12
2y = 72
divide both sides by 2
2y/2 = 72/2
y = 36
Thus,
- The smaller number ⇒ y = 36
- The larger number ⇒ x = y + 12 = 36 + 12 = 48
