Question

A number x is such that dividing the number by 5 and then adding 2 gives the same outcome as adding 22 and then dividing by 10. Write down and solve an equation satisfied by x. Enter your answer in the box below as a number, rounded to one decimal place if necessary.​

Answer 1

x = 2

Explanation:

You want x such that dividing by 5 and then adding 2 gives the same outcome as adding 22 and then dividing by 10.

Setup

(x/5) +2 . . . . the value after dividing by 5 and adding 2

(x +22)/10 . . . . the value after adding 22, then dividing by 10

These two outcomes are the same:

x/5 +2 = (x +22)/10

Solution

Multiplying the equation by 10 gives ...

2x +20 = x +22

x = 2 . . . . . . . . . . . . subtract x+20

The number is x = 2.

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Additional comment

The outcome in each case is 2.4.