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If twice a number added to 3 is divided by the number plus 7, the result is three halves. Find the number?

No One can figure this out please help

User Jagat
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2 Answers

4 votes

Final answer:

To solve for a number where twice the number plus 3 divided by the number plus 7 equals three halves, we set up an equation (2x + 3) / (x + 7) = 3/2 and solve for x, finding that the number is 15.

Step-by-step explanation:

The question is asking us to find a number such that when twice this number is added to 3 and then divided by the number plus 7, we get ½. To represent the number, we use a variable, usually 'x'. The equation can be written as:

(2x + 3) / (x + 7) = 3/2

We solve for 'x' by first cross-multiplying to get rid of the fraction:

2(2x + 3) = 3(x + 7)

Which simplifies to:

4x + 6 = 3x + 21

And by rearranging the terms we get:

x = 21 - 6

x = 15

So, the number we are looking for is 15.

User John Schulze
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5.1k points
3 votes

Answer:

-2/5

Step-by-step explanation:

Let the Number be x

((2X+3)÷X)+7=3/2

Separate the Numbers to be same side;

(2x+3)/x=3/2-7

(2x+3)/x=-11/2

Cross multiplication

X=-2/5

User Gsk
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4.4k points