The product of 7 and a number increased by 8, is 105, what is the number?

Question:

The product of 7 and a number increased by 8, is 105, what is the number?

Answer and Explanation:

Let us consider, a variables {eq}x. {/eq}


The mathematical expression of "The product of 7 and x " can be written as {eq}7x. {/eq}


The mathematical expression of" 7x increased by 8, is 105" can be written as {eq}7x+8=105. {/eq}


Subtract 8 from the both sides by:

{eq}\Rightarrow 7x+8-8=105-8 {/eq}

{eq}\Rightarrow 7x =97 {/eq}


Divide both sides by 7:

{eq}\Rightarrow \dfrac{7x}{7} =\dfrac{97}{7} {/eq}

{eq}\Rightarrow x =\dfrac{97}{7} {/eq}


Therefore, the numbers is {eq}\dfrac{97}{7}. {/eq}


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