Question

One half of a number increased by 16 is 4 less than two thirds of the number. what is the number

Answer 1

Let the required number be x

According to the above problem,

`(x)/(2) + 16 = (2x)/(3) - 4 \\ (2x)/(3) - (x)/(2) = 16 + 4 \\ ((4x - 3x))/(6) = 20 \\ (x)/(6) = 20 \\ x = 6 * 20 \\ \boxed{ x = 120}`

Therefore,

• The required number is 120.

Answer 2

Explanation:

x = number

x/2 + 16 = 2/3x - 4

x + 32 = 4/3x - 8

3x + 96 = 4x - 24

120 = x