Question

If the product of any two rational numbers is 2 and one of them is 1/7,find the others?​

Answer 1

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Answer 2

Given :-

• Product of two rational number=2
• First number=1/7

Solution :-

Let us assume the required number be x.

Now, the equation can be created as follows::

$\sf :\implies(x)\times\dfrac{1}{7}=2$

Now multiplying both sides by 7::

$\sf :\implies( x)\times\dfrac{1}{7}\times 7=2\times 7$

Now, 7 will be cancelled in LHS whereas will be simplified on RHS::

$\sf :\implies( x)\times\dfrac{1}{\not 7}\times\not 7=2\times 7$

$\sf :\implies x\times1=2\times 7$

$\sf :\implies x=2\times 7$

$\large\boxed{\blue{\sf :\implies x=14}}$

So the other number is 14.

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Verification :-

In the Question it is given that product of 2 numbers is 2 of which first no. is 1/7 and we were asked to find 2nd number. The 2nd number is obtained by above method which is 14 and now we are going to verify our result.

$\sf :\implies (First\: number)\times(2nd \: number)=2$

$\sf :\implies (14)\times\bigg(\dfrac{1}{7}\bigg)=2$

$\sf :\implies 14\times\dfrac{1}{7}=2$

$\sf :\implies 2=2$

Since LHS=RHS, our answer is correct!!

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