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inysia [295]
2 years ago
13

I think of a number. If I divide the sum of 6 and the number by 3,the result is 4 more than one quarter of the number. Find the

number.
Mathematics
1 answer:
Alex17521 [72]2 years ago
7 0

Answer:

24

Step-by-step explanation:

Let the number be x.

Sum of the number and 6: 6+x

Divide it by 3: \frac{6+x}{3}

Result is 4 more than one quarter of the number:

\frac{6+x}{3} =4+\frac{1}{4} x

Multiply both sides by 12:

\frac{6+x}{3}\cdot \:12=4\cdot \:12+\frac{1}{4}x\cdot \:12

Simplify:

4\left(x+6\right)=48+3x

Expand:

4x+24=48+3x

Subtract 24 from both sides:

4x+24-24=48+3x-24

4x=3x+24

Subtract 3x from both sides:

4x-3x=3x+24-3x

x=24

The number is 24.

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