Question

2) If a number is multiplied by seven, and the product is increased by two, the result is one hundred. Find the number.

Answer 1

14

Step-by-step explanation:

Given that a number is multiplied by seven, and the product is increased by two, the result is one hundred.

Let's express this mathematically(equation).

Let the number be represented by X.

A number X is multiplied by seven = 7X

The product is increased by 2 = 7X + 2

The result is 100 = 7X + 2 = 100

We have:

7X + 2 = 100

Solve for X:

Subtract 2 from both sides:

7X + 2 - 2 = 100 - 2

7X = 98

Divide both sides by 7:

`\begin{gathered} (7X)/(7)\text{ = }(98)/(7) \\ \\ X\text{ = 14} \end{gathered}`

Therefore the number is 14