Question

if 3 is added to four times a certain number , then the result obtained is 5 less from 6 times of that number find the number​

Answer 1

Answer :

• The number is 4

Given that :

• If 3 is added to four times a certain number , then the result obtained is 5 less from 6 times of that number

To find :

• The number

Solution :

• Let the number be x

Given, if 3 is added to four times a certain number so,

• 4x + 3

And also Given that the result obtained is 5 less from 6 times of that number so

• 6x - 5

According to question,

➞ 4x + 3 = 6x - 5

➞ 3 + 5 = 6x - 4x

➞ 8 = 2x

➞ 2x = 8

➞ x = 8/2

➞ x = 4

Hence , The number is 4

Verification :

➞ 4x + 3 = 6x - 5

➞ 4(4) + 3 = 6(4) - 5

➞ 16 + 3 = 24 - 5

➞ 19 = 19

Hence, Verified

Answer 2

$\large \tt \green{ \pmb{ \underline{Gɪᴠᴇɴ :}}}$

• If 3 is added to four times a certain number then the result obtained is 5 less from 6 times of that number

$\large \tt \green{ \pmb{ \underline{Tᴏ \: ғɪɴᴅ :}}}$

• Find the number

$\large \tt \green{ \pmb{ \underline{Sᴏʟᴜᴛɪᴏɴ :}}}$

$\sf{Let \: the \: number \: be \: x.}$

$\sf{From \: condition,}$

$\sf{Equation = \fbox { \sf{4x + 3 = 6x - 5}}}$

$\sf{ \qquad \: \: \: \: \: \: \: \: \dashrightarrow \: 3 + 5 = 6x - 4x}$

$\sf{ \qquad \: \: \: \: \: \: \: \: \: \: \: \: \dashrightarrow \: 8 = 2x}$

$\sf{ \qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \dashrightarrow \: x = \cancel \frac{8}{2} }$

$\sf{ \qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \dashrightarrow \: x = 4}$

$\sf{ \therefore{ \underline{ The \: number \: is \: 4.}}}$