Question

the product of two number is minus 17 1/2 if one of them is 1 1/6 find the other number​

Answer 1

Given :

The product of two number

= $17\dfrac{1}{2}=\dfrac{35}{2}$

One of the number is

= $1\dfrac{1}{6}=\dfrac{7}{6}$

=======================

To find :

Other number or required

number.

=======================

Let the other number be 'x'

=======================

According to the question

we are going to solve

equation

=======================

Lets solve,

$\implies x\times\dfrac{7}{6}=-\dfrac{35}{2}\\\\\\\implies x=\dfrac{-35}{2}\div\dfrac{7}{6}\\\\\\\implies x=\dfrac{-35}{2}\times\dfrac{6}{7}\\\\\\\implies x=-15$

=======================

Verification :-

$\implies x\times\dfrac{7}{6}=\dfrac{-35}{2}\\\\\\\implies-15\times\dfrac{7}{6}=\dfrac{-35}{2}\\\\\\\implies-5\times\dfrac{7}{2}=-\dfrac{35}{2}\\\\\\\implies-\dfrac{35}{2}=-\dfrac{35}{2}$

=======================

L.H.S = R.H.S

hence it is verified

=======================

Therefore required number

is -15