The sum of 75 and twice a number is 219. Find the number

Answer 1

You can create an equation to represent this problem. Assume that x represents the unknown number. Twice times the number would be represented by 2x.

You would then add 75 to that expression to represent the sum by using: 2x + 75

Finally you could set this expression equal to 219 using 2x + 75 = 219

We can solve this using inverse operations:

2x + 75 = 219 (Now subtract 75 from both sides of the equation)

2x + 75 -75 = 219 - 75 (Subtract 75 from 219)

2x = 144 (Divide both sides by 2)

2x/2 = 144 / 2 (Divide 144 by 2)

x = 72

You can check with 2 * 72 + 75 = 219

Answer 2

"In order to solve this, we must turn it from a word problem into a relation.

So, the first thing to note is that it says "the sum of", which means addition of, 75 and twice a number. For the twice a number, just think of it has 2n, where n is a number. Finally, the last part "is 219" which means that it is equal to 219.

So the word problem becomes this: 75 + 2n = 219.

Now we can just solve for n, by having the n-variable on one side and the constants on the other.

2n= 144

Divide both sides by 2 to yield the answer.

Answer 3

If we let the number be x, this can be written as:

75 + 2x = 219

2x = 144

x = 72

The number is 72.