Question

A larger number is twelve more
than a smaller. Their sum is
84. Find the numbers.​

Answer 1

Answer: bigger number is 48 and smaller number is 36

Explanation:

Answer 2

• The smaller number ⇒ y = 36

• The larger number ⇒ x = y + 12 = 36 + 12 = 48

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