Answered

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

Answer :

REINHARD10158GO

Step-by-step explanation:

x = number

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

x + 32 = 4/3x - 8

3x + 96 = 4x - 24

120 = x

MANISSAHA129GO

Answer:

Let the required number be x

According to the above problem,

[tex] \frac{x}{2} + 16 = \frac{2x}{3} - 4 \\ \frac{2x}{3} - \frac{x}{2} = 16 + 4 \\ \frac{(4x - 3x)}{6} = 20 \\ \frac{x}{6} = 20 \\ x = 6 \times 20 \\ \boxed{ x = 120}[/tex]

Therefore,

  • The required number is 120.

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