Question

The difference between two numbers is 9. find the numbers if their sum is 46​

Answer 1

Step-by-step explanation:

x-y=9(difference)

x+y=46(sum)

x=46-y. eq1

in applying eq1 in x-y=9

46-y-y=9

46-9=2y

2y=37

y=37/2

x=46-y

x=46-37/2

2x=92-37

x=55/2

the numbers are 55/2 and 37/2

Answer 2

Answer:

The Numbers are 18.5 and 27.5

Step-by-step explanation:

Gívєn -

Difference between the numbers = 9

The sum of the Numbers = 46

Tσ fínd -

The Numbers

Sσlutíσn -

Let the Numbers be -

• First as x
• Second as y

$\rule{300}{1.5}$

According to the Question -

Their Difference is 9

$\sf{\implies} \: x - y = 9$

$\sf{\implies} \:x = 9 + y\: .......(Equation \: 1)$

Their sum is 46

$\rule{300}{1.5}$

$\sf{\implies} \: x + y = 46$

$\sf{\implies} \:(9 + y) + y = 46$

$\sf{\implies} \: 9 + y + y = 46$

$\sf{\implies} \: 9 + 2y = 46$

$\sf{\implies} \: 2y = 46 - 9$

$\sf{\implies} \: 2y = 37$

$\sf{\implies} \: y = \dfrac{37}{2}$

$\sf{\implies} \:y =18.5$

One Number = 18.5

$\rule{300}{1.5}$

Second Number =

Place the Value of y in Equation 1

$\sf{\implies} \: x = 9 + 18.5$

$\sf{\implies} \: x = 9 + 18.5$

$\sf{\implies} \: x = 27.5$

$\therefore$ The Numbers are 18.5 and 27.5