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the sum of two numbers is 78. one of the numbers is 4 more than the other number, what are the two numbers?

User Tttppp
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X = ?

X +4= ?

(X+4) + x = 78

2X + 4 = 78. Subtract 4 from both sides

You get 2X = 74. Divide both sides by 2 and you get x= 37

Now plug 37 in and you get 37 and 41

User Lee Louviere
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2 votes

The two numbers are 41 & 37.

The way to solve this is by setting up an equation. We know that 2 numbers are going to equal 78, so here would be the general equation (let x represent the number we don't know):

(x) + (x + 4) = 78

Now, we need to simplify it (combine like terms):

2x + 4 = 78

Then you can solve it like any other equation. Subtract 4 on both sides:

2x = 74

Divide by 2 on both sides:

x = 37.

So, now you know one number is equal to 37 and that the other is 37 + 4.

That's how you get 37 & 41.

User Jonney
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