If one-third of a number is added to one-half of that number, the sum is 25. Find the number.

Let x = the number.

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Jaybrainelsajullaviz Jaybrainelsajullaviz · Answer 1

Answer:

X=30

Step-by-step explanation:

[tex] \frac{1}{3} x + \frac{1}{2} x = 25[/tex]

[tex]6( \frac{1}{3} x + \frac{1}{2} x = 25)[/tex]

[tex]2x + 3x = 150[/tex]

[tex]5x = 150[/tex]

[tex] \frac{5}{5} x = \frac{150}{5} [/tex]

[tex]x = 30[/tex]

Let's check if it's true

x=30

[tex] \frac{1}{3} (30) + \frac{1}{2} (30) = 25[/tex]

[tex]10 + 15 = 25[/tex]

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