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What prime number, when first multiplied by 7, then added to 7, then divided by 2, equals 21?

User Deafsheep
by
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2 Answers

7 votes

Answer:

the prime number that satisfies the given conditions is 5.

Explanation:

User Bernte
by
8.5k points
2 votes

Answer:

Explanation:

To solve the problem, let's break it down step by step.

1. Let's assume the prime number is represented by 'x'.

2. The first operation is multiplying the prime number by 7: 7x.

3. The next operation is adding 7 to the previous result: 7x + 7.

4. The final operation is dividing the previous result by 2: (7x + 7) / 2.

According to the problem, this result should equal 21:

(7x + 7) / 2 = 21

To find the prime number 'x,' we can solve the equation:

7x + 7 = 21 * 2

7x + 7 = 42

Subtracting 7 from both sides:

7x = 42 - 7

7x = 35

Dividing both sides by 7:

x = 35 / 7

x = 5

Therefore, the prime number that satisfies the given conditions is 5.

User Perdomoff
by
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