Question

The half of a number'n' seven more than the third of the number find the value of 2n​

Answer 1

Answer:

2n = 84

Step-by-step explanation:

half of the number i.e. n/2

is seven more than third of the number 7+n/3

we get the equation,

n/2 = 7+n/3

=> n/2-n/3 = 7 (transposing n/3 to left)

=> 3n-2n/6 =7 (Solving left hand side)

=> n/6 = 7

=> n = 7*6 (Transposing 6 to right side)

=> n= 42

hence,

2n = 2*42 = 84

Answer 2

The value of 2n is 84

Correct question : The half of a number n seven more than the one third of the number. find the value of 2n

Given :

The half of a number n seven more than the one third of the number.

To find :

The value of 2n

Solution :

Step 1 of 3 :

Form the equation to find the value of n

Here the given number is n

It is given that half of the number n seven more than the one third of the number

By the given condition

$\displaystyle \sf \frac{n}{2} = 7 + \frac{n}{3}$

Step 2 of 3 :

Find the value of n

$\displaystyle \sf \frac{n}{2} = 7 + \frac{n}{3}$

$\displaystyle \sf{ \implies }\frac{n}{2} - \frac{n}{3} = 7$

$\displaystyle \sf{ \implies }\frac{3n - 2n}{6} = 7$

$\displaystyle \sf{ \implies }\frac{n}{6} = 7$

$\displaystyle \sf{ \implies }n = 7 \times 6$

$\displaystyle \sf{ \implies }n = 42$

∴ The number n = 42

Step 3 of 3 :

Calculate the value of 2n

The number n = 42

Hence the required value

= 2n

= 2 × n

= 2 × 42

= 84

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