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

Sagot :

ANSWER:

14

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:

[tex]\begin{gathered} \frac{7X}{7}\text{ = }\frac{98}{7} \\ \\ X\text{ = 14} \end{gathered}[/tex]

Therefore the number is 14