Answered

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Two-thirds of a number, n, is equal to 16. Set up an equation that involves n and solve it for the number described.

Sagot :

Two-thirds of a number, n, is expressed mathematically as follows:

[tex]\frac{2}{3}n[/tex]

Given that two-thirds of a number, n, is equal to 16, then:

[tex]\frac{2}{3}n=16[/tex]

Multiplying by 3 at both sides of the equation, we get:

[tex]\begin{gathered} 3\cdot\frac{2}{3}n=3\cdot16 \\ 2n=48 \end{gathered}[/tex]

Dividing by 2 at both sides of the equation, we get:

[tex]\begin{gathered} \frac{2n}{2}=\frac{48}{2} \\ n=24 \end{gathered}[/tex]

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