Question

Sum of two numbers is 36 and the difference is 8.Find the numbers.

Answer 1

Answer:

22,14

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Step-by-step explanation:

Answer 2

$\bigstar\mid$ Given :

✴️ Sum of two numbers : 36

✴️ Difference between them is : 8

$\bigstar\mid$ To find :

✴️ The numbers.

$\bigstar\mid$ Solution :

let's assume that the numbers are :

x and y

Therefore,

Considering :

x + y = 36 .........(i)

x - y = 8 ..........(ii)

Subtraction of both equations as follows :

$\rm \: x + y = 36 \\ \rm { \underline{ - x + y = - 8}} \\ \rm \implies \: 2y = 28 \\ \rm \implies \:y = \frac{28}{2} \\ \rm \implies \: y = 14$

Substituting the value of y in equation (i) as follows :

➠ x + y = 36

➠ x + 14 = 36

➠ x = 36 - 14

➠ x = 22

${ \underbrace{ \textsf { \textbf{Required \: answer : }}}} \\ { \underline{{ \boxed{ \textsf{ \textbf{ \pink{The \: two \: numbers \: are \: 22 \: and \: 14}}}}}}}$