Question

The product of 2 number is - 13. If one of the number is -65/7, find the other.​​

Answer 1

Answer :-

• The other number is 7/5.

To find :-

• The other number.

Solution :-

• Here, it is given that the product of 2 numbers is -13 and one of the numbers is -65/7. We have to find the other number. We will do so by taking the other number as "x", forming an equation and then solving it to get our answer!

Let :-

• The other number be "x".

It is given that :-

• The product of -65/7 and x is -13.

Therefore,

$\hookrightarrow\tt \dfrac{ - 65}{ \: \: \: \: 7} \times x = - 13$

$\hookrightarrow \tt x = - 13 \div \dfrac{ - 65}{ \: \: \: \: 7}$

$\hookrightarrow \tt x = - 13 \times \dfrac{ \: \: \: \: \: \: 7}{ - 65}$

$\hookrightarrow \tt x = - 13 \times \dfrac{ \: \: \: \: \: 7}{- 65}$

Cancelling the numbers,

$\hookrightarrow \tt x = 1 \times \dfrac{7}{5}$

$\hookrightarrow\tt x = \dfrac{7}{5}$

Hence :-

• The other number is 7/5.

---------------------------------------------------

V E R I F I C A T I O N

• To check our answer, let's multiply -65/7 and 7/5 and see whether their product is -13.

$\longmapsto\bf\dfrac{ - 65}{ \: \: \: \: \: 7} \times \dfrac{7}{5}$

Cancelling the numbers,

$\longmapsto \bf\dfrac{ - 13}{ \: \: \: \: \: 1} \times \dfrac{1}{1}$

$\longmapsto \bf \dfrac{ - 13}{ \: \: \: \: \: 1}$

$\longmapsto \bf- 13$

The product of -65/7 and 7/5.

Hence verified!

________________________________