Question

If you subtract (-8) from a number and multiply the result by 2, you get 16, what is the number?​

Answer 1

Given:

• (-8) is subtracted from a number.
• Then number multiplied by 2.
• The result becomes 16 .

To Find:

• The that unknown number.

Concept Used:

• We will use linear equations to solve the question.

Solution:

Let us take the number be x .

Firstly number is subtracted (-8)

i.e. $\sf{x-(-8)}$

=$\sf{x+8}$

Secondly number is multiplied by 2 .

i.e. $\sf{2\times(x+8)}$

=$\sf{2(x+8)}$

But it's given that result is 16 .

So, ATQ,

$\sf{\implies 2(x+8)=16}$

$\sf{\implies 2x+16=16}$

$\sf{\implies 2x=16-16}$

$\sf{\implies 2x=0}$

$\sf{\implies x=\dfrac{0}{2}}$

${\underline{\boxed{\red{\sf{\longmapsto x=0}}}}}$

Hence the required number is 0 .

Answer 2

Given :-

• Subtract the (-8) from a number.
• Then multiply the result by 2.
• Then we will get 6.

To find :-

• The number which we will get.

___________________________....

• Let the number be x

According to the question,

• x - ( -8) = ( x + 8 )
• Multiply the number by 2 means = 2( x + 8)
• Result is 16.

$\implies \sf \red {2 \: ( x + 8 ) = 16} \\ \sf \implies{2x \: + 16 = 16 } \\ \implies \sf{2x = 16 - 16} \\ \implies \sf{ 2x = 0} \\ \implies \sf{x = \frac{0}{2} } \\ \therefore \sf \pink{x = 0}$

______________________....

$\sf\blue{Verification\: :}$

$\sf{Putting\:the\:value\:of\:x}$

2 ( x + 8 ) = 16

2 ( 0 + 8 ) = 16

2 × 8 = 16

16 = 16

$\therefore\sf{Verified}$