Question

Two numbers add to 87. If one number is doubled
and the other is halved the new sum is 111.
What was the larger of the original numbers?
The larger of the original numbers =​

Answer 1

Answer:

Let one number be x.

So, other number = 87-x.

The doubled number = 2x.

The halved number = (87-x)/2

According to condition,

2x + (87-x)/2 = 111

Or, {4x + (87-x)}/2 = 111

Or, {4x + (87-x)} = 111 × 2

Or, 3x + 87 = 222

Or, 3x = 222 - 87

Or, 3x = 135

Or, x = 135/3

Or, x = 45

So, x = 45

87 - x = 87 - 45 = 42

Hence, larger of the original numbers is 45.