Question

the sum of four times a number and 9is same as one third that number increased by 31.find the number​

Answer 1

Answer:

Let the no. be n

then,

This word problem can be represented by this equation

4n + 9 = 1/3n + 31

we subtract 9 from both sides of the equation

4n = 1/3n + 22

 

we then multiply both sids of the equation by 3

12n = n + 66

subtact n from both sides

11n = 66

and dividing both sides by 11

then we will get n = 6

mark this answer as brainliast

Answer 2

Answer:

The required answer is 6 now let's see how we get that.

Find:-

Find the number = ?

Solution:-

$\mathtt{4x + 9 = \frac{x}{3} + 31 }$

$\mathtt{4x - \frac{x}{3} = 31 - 9 }$

$\mathtt{ \frac{12x - x}{3} = 22 }$

$\mathtt{ \frac{11x}{3} = 22 }$

$\mathtt{11x = 22 \times 3}$

$\mathtt{11x = 66}$

$\mathtt{x = \frac{66}{11} }$

$\mathtt{x = 6}$

Verification

First we solve LHS ( Left hand side)

$\mathtt{4x + 9}$

$\mathtt{ = 4 \times 6 + 9}$

$\mathtt{ = 24 + 9}$

$\mathtt{x = 33}$

Now solve RHS ( Right hand side)

$\mathtt{ = \frac{x}{3} + 31 }$

$\mathtt{ = \frac{6}{3} + 31 }$

$\mathtt{ = \frac{6 + 93}{3} }$

$\mathtt{ = \frac{99}{3} }$

$\mathtt{ = 33}$

$\fbox\purple{LHS = RHS}$

$\fbox\purple{Hence,Verified}$

That means our ans is correct.

$\fbox\blue{x=6}$

Step-by-step explanation:

I hope this helps you mate.