Question

one number is 5 less than 4 times another. if the sum of the two numbers is 11, find the numbers

Answer 1

Answer:

• Numbers are 3.2 and 7.8.

Step-by-step explanation:

Given that:

• One number is 5 less than 4 times another.
• The sum of the two numbers is 11.

To Find:

• What are the numbers?

Let us assume:

• One number be x.
• Another number = 4x - 5

Finding the numbers:

According to the question.

⇢ x + 4x - 5 = 11

⇢ 5x - 5 = 11

⇢ 5x = 11 + 5

⇢ 5x = 16

⇢ x = 16/5

⇢ x = 3.2

• One number = x
• One number = 3.2

• Another number = 4x - 5
• Another number = 4(3.2) - 5
• Another number = 12.8 - 5
• Another number = 7.8

Answer 2

Question:-

• One number is 5 less than 4 times another. if the sum of the two numbers is 11, find the numbers.

To Find:-

• Find the numbers.

Solution:-

• Let a number be x

• Another number be 4x - 5

According to the Question:-

$\sf\dashrightarrow \: x + 4x - 5 = 11$

$\sf\dashrightarrow \: 5x = 11 + 5$

$\sf\dashrightarrow \: 5x = 16$

$\sf\dashrightarrow \: x = \cancel\dfrac { 16 } { 5 }$

$\sf\dashrightarrow \: x = 3.2$

Hence ,

• The number is 3.2

• Another number is 4x - 5 = 7.8