Question

Q1 When 6 is added to a number, the result is two times the number increased by one. Find the number.
Chapter is linear equation​

Answer 1

✬ Number = 5 ✬

Step-by-step explanation:

Given:

• After adding 6 to a number.
• The result becomes 2 times the number increased by 1.

To Find:

• What is the number ?

Solution: Let the number be x. Therefore,

➟ Adding 6 to number

➟ (x + 6)

[ Result came is ]

➟ 2 times of number + 1

➟ (2x + 1)

A/q

$\implies{\rm }$ x + 6 = 2x + 1

$\implies{\rm }$ x – 2x = 1 – 6

$\implies{\rm }$ – x = – 5

$\implies{\rm }$ x = 5

Hence, the number is 5.

_________________

★ Verification ★

=> Adding 5 = 5 + 6 = 11

Result came

=> 2(5) + 1

=> 11

$\large\boxed{\texttt{Verified}}$

Answer 2

Answer:

Given:

• When 6 is added to a number, the result is two times the number increased by one.

Find:

• Find the number.

Calculations:

• Let us assume x as the number.
• According to case 1 (6 is added to the number) - (x + 6).
• According to case 2 (The result is multiplied with number increased by one) - (2x + 1).

Using the above information, we get:

=> x + 6 = 2x + 1

=> x - 2x = 1 - 6

=> -x = -5

Now, dividing both the sides with -1, we get our required answer.

=> x = 5

Therefore, the number is 5.