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Seven times a number reduced by 14 is equal to the sum of 5 times the number and 6. Find the number.
Question

Seven times a number reduced by 14 is equal to the sum of 5 times the number and 6. Find the number.

A.

10

B.

20

C.

5

D.

15

Correct option is A

Given:

Seven times a number reduced by 14 is equal to the sum of 5 times the number and 6.

The number is x.

Solution: 

7x14=5x+67x - 14 = 5x + 6 

7x145x=67x - 14 - 5x = 6 

2x14=62x - 14 = 6 

2x=6+142x = 6 + 14 

2x=202x = 20 

x=202x = \frac{20}{2} =10=10 

The number is 10


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