Question

The sum of three times a number and 11 is 32. Find the number​

Answer 1

Answer:

$\text\red{Question}$

The sum of three times a number and 11 is 32. Find the number.

$\text\red{Given}$

One number = 11

The sum of both numbers = 32

$\text\red{To\:find}$

We have to find the another number

Let the number be x

The number is 3 times a number means 3x

$\text\red{Solution}$

= 3x + 11 = 32

= 3x = 32 - 11

= 3x = 21

$= x = \frac{21}{3}$

= x = 7

•°• 3x = 3 × 7 = 21

•°• The number is 21

$\text\red{Verification}$

= 3x + 11 = 32

= 21 + 11 = 32

= 32 = 32

Hence Proved!

LHS = RHS

The number is 21

Answer 2

${ \textbf{ \textsf{ \underline{ \underline{✠Question}}}}} :$

• The sum of three times a number and 11 is 32. Find the number.

${ \textbf{ \textsf{ \underline{ \underline{✠Answer}}}}} :$

• The required answer is 7

${ \textbf{ \textsf{ \underline{ \underline{✠Solution}}}}} :$

• Let we take a variable such as y.
• Here the question asked to find the unknown number y .
• By forming equation :- 3y + 11 = 32
• As using transposing method, we may find the required number.

${ \textbf{ \textsf{ \underline{ \underline{✠Caculation}}}}} :$

$\sf \to \: 3y + 11 = 32 \\ \to \sf \: 3y = 32 - 11 \\ \to \sf3y = 21 \: \: \: \: \: \: \: \: \: \: \\ \to \sf \: y = \frac{21}{3} = 7 \: \:$

${ \underline{ \fbox{y = 7}}}$

${ \textbf{ \textsf{ \underline{ \underline{✠Proof}}}}} :$

$\to \sf \: 3 \times 7 + 11 \: \: \\ \to 21 + 11 \: \: \: \: \: \: \: \: \: \\ \to \sf \: 32 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

• LHS = RHS
• Thus verified✔️