Question

Four times a certain number is the same as the number increased by 78. what is the number?

Answer 1

To solve this problem, we can first translate the word problem into an algebraic format -

4 times (multiplied by / × ) a number (which we can represent with n) is equal to that same number n increased ( plus / + ) 78.

So our equation looks like this:

4n = n + 78

Now we can solve it. As the first step to solve it, we should get the n's on the same side of the equation. We can easily do this by subtracting n from both sides, since there is an n by itself on the right side, with the + 78. 

Now we have

3n = 78

Now, we can just divide both sides by 3 to find n.

n = 26.

To double check our work, we can substitute 26 back into our equation in place of n and make sure both sides of the equation match.

4(26) = 26 + 78

4 x 26 = 104
26 + 78 = 104

So, 26 is the correct solution.

Answer 2

✪Given :-

Four times a certain number is the same as the number is increased by 78.

✪To Find :-

What is the number.

✪Solution :-

Let, the number be x

Four times the number will be 4x

And, the number is increased is x + 78

According to the question,

⇒ 4x = x + 78

⇒ 4x - x = 78

⇒ 3x = 78

$⇒ x = \sf\dfrac{\cancel{78}}{\cancel{3}}$

➠ x = 26

$\tt \ \: {\therefore∴ The \: number \: is \boxed{\bold{\large{26}}} }$

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