Question

If a number ia multiplied by 3 and 6 is added to it we get result 102. Then 1/8 of the number is equal to​

Answer 1

Answer:

answer is 4

i think it will be useful to you

Answer 2

Given:

• 102 is the resulting number when a number is multiplied by 3 and 6 is added to it.

To find:

• The one-eighth of the number.

Solution:

To find the one-eighth of the number, we will have to find the number. And to find the number, let's use the given conditions and make a equation!

Let the number be 'g'.

So, according to the question, when we multiply the number by 3, we get an expression:

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \underline{\boxed{ \sf{3g}}}}$

And then, if we add 6 to the above formed expression, we get a new expression:

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline{ \boxed{ \sf{3g + 6}}}$

And this expression equals 102, which can be written as an equation like:

$\: \: \: \: \: \: \: \: \:\:\: \: \: \: \: \: \: \underline{ \boxed { \bf{3g + 6 = 102}}}$

The value of the original number, i.e, the value of 'g' can be obtained by solving the equation. Let's solve it!

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \longmapsto{ \sf{3g + 6 = 102}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \longmapsto{ \sf{102 - 6 = 3g}} \\ \\ \: \: \: \: \: \: \: \: \longmapsto{ \sf{96 = 3g}} \\ \\ \: \: \: \: \: \: \: \longmapsto{ \sf{ \dfrac{ \cancel{96}}{ \cancel{3}} = g}} \\ \\ \: \: \: \: \: \: \: \: \longmapsto \boxed{ \bf{ \red{32 = \sf{g}}}}$

$\:$

Now we shall find the one-eight of the number!

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \longmapsto \sf { \dfrac{1}{8} \times g } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \longmapsto \sf{ \dfrac{1}{ \cancel{8}} \times \cancel{32}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \longmapsto \sf{1 \times 4} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \longmapsto \boxed{ \frak{ \red{4}}}$

$\\ \therefore \underline{ \sf{The \: one - eighth \: of \: the \: number \: is \: \textsf{\textbf{\pink{4}} \sf.}}}$

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