Question

Two third of a number minus 5 gives 11
what is the number?
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Answer 1

Answer: n=24

Explanation:

n=number

2/3 * n - 5=11

2n/3=16

2n=48

n=24

Answer 2

Given the numbers, let’s set up our expression:

2/3n (otherwise written as 2/3 • n) - 5 = 11

Any time there is a fraction of a number, that signifies for multiplication.

Let’s eliminate 5 by adding it to both sides of the equation:

2/3n - 5 + 5 = 11 + 5

2/3n = 16

Now we know that 2/3 of a number gives us 16. Now, let’s divide both of our numbers by 2/3:

• 2/3 divided by 2/3 gives us 1

• 16 divided by 2/3 gives us 24

Hence, 2/3 of 24 gives us 16.

n = 24

Let’s plug 24 into our original equation now:

2/3(24) - 5 = 11

16 - 5 = 11

Because this equation is true, we have solved for n. Our number is 24.