Question

When 6 is added to 5times a certain number, the results is the same as when 4 is subtracted from 7times the number. Find the number

Answer 1

5

Explanation:

Let us assume that the "certain" number be x

For first case in this question:

6 is added to 5 times a certain number.

We can rewrite this as mathematically:

• 6 + 5x

For second case in this question:

4 is subtracted from 7 times that number

We can rewrite this as mathematically:

• 7x - 4

Here given, first case = second case

Hence,

• 6 + 5x = 7x-4

Solve this equation to get the desired number.

• 7x-5x = 6+4(Collect like terms to LHS and transpose 6 to RHS,then cancel out negative on both sides)
• 2x = 10(Simplify)
• x = 5( Divide both side by 2)

Hence the desired number is 5.