Question

7 times the reciprocal of a number plus 2/3 is 3 find the number​

Answer 1

✬ Number = 3 ✬

Step-by-step explanation:

Given:

• Seven times the reciprocal of a number plus 2/3 = 3.

To Find:

• What is number?

Solution: Let the number be x. Seven times of this = 7x

• It's reciprocal = 7/x
• Equation will be = 1/x + 2/3 = 3

A/q

$\implies{\rm }$ 7/x + 2/3 = 3 [ Take LCM ]

$\implies{\rm }$ 21 + 2x/3x = 3

$\implies{\rm }$ 21 + 2x = 9x

$\implies{\rm }$ 21 = 9x – 2x

$\implies{\rm }$ 21 = 7x

$\implies{\rm }$ 21/7 = x

$\implies{\rm }$ 3 = x

Hence, The number is 3.

___________________

★ ChEck ★

→ Reciprocal of 3 = 1/3

→ Seven times of 1/3 = 7/3

→ 7/3 + 2/3 = 3

→ 7 + 2/3 = 3

→ 9/3 = 3

→ 3 = 3 { LHS = RHS }

Answer 2

Answer: The correct answer is 3.

Step-by-step explanation:

Given: Seven times the reciprocal of a number when added to 2/3 it gives 3.

Then we have to find the number
Let the number be x .

its reciprocal = 1/x
Seven times of its reciprocal = 7/x

Required equation will be = 7/x + 2/3 = 3

A/q

⇒7/x + 2/3 = 3
Taking LCM of 3 and x we get 3x

⇒ (21 + 2x)/3x = 3

⇒ 21 + 2x = 9x

⇒ 21 = 9x – 2x

⇒ 21 = 7x

⇒ 21/7 = x

⇒ 3 = x

∴ x =3

Hence, the number is 3 if 7 times the reciprocal of a number plus 2/3 is 3.

For verification:

⇒Reciprocal of 3 = 1/3

⇒ Seven times of 1/3 = 7/3

⇒7/3 + 2/3 = 3

⇒7 + 2/3 = 3

⇒ 9/3 = 3

⇒ 3 = 3 { LHS = RHS }

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