Question

द सम ऑफ टू नंबर इज 70द सम ऑफ टू नंबर इज द डिफरेंस इन 16 फाइंड द नंबर ​

Answer 1

Correct Question

The sum of two number is 70 and the difference of two number is 16. Find the number.

Solution

Let assume the two numbers be x and y

According to the question

$\large\boxed{\tt \: x \: + \: y \: = \: 70} \: .... \: \large\rm{\red{ equation \: \: 1}}$

$\large\boxed{\tt \: x \: - \: y \: = \: 16} \: .... \: \large\rm{\red{ equation \: \: 2}}$

Adding equation 1 and equation 2

$\begin{cases}\large\bf{\green{ \longrightarrow}} \rm \: x \: + \: y \: + \: x \: - y \: = \: 70 + 16 \\ \\ \large\bf{\green{ \longrightarrow}} \rm \: x \: + \: \cancel y \: + \: x \: - \: \cancel y \: = \: 70 + 16 \\ \\ \large\bf{\green{ \longrightarrow}} \rm \: 2x \: = \: 86 \\ \\ \large\bf{\green{ \longrightarrow}} \rm \: x \: = \: \cancel\frac{86}{2} \\ \\ \large\bf{\green{ \longrightarrow}} \rm \: x \: = \: 43 \end{cases}$

Now , putting the value of x in equation 1

$\large\bf{\orange{ \implies}} \rm \: 43 \: + \: y \: = \: 70$

$\large\bf{\orange{ \implies}} \rm \: y \: = \: 70 \: - \: 43$

$\large\bf{\orange{ \implies}} \rm \: y \: = \: 27$

The two numbers are 43 and 27