164k views
0 votes
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
by
8.2k points

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
by
8.8k 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
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories