Question

If thrice a number is increased by 11, the result is 35. What is the
number?
​

Answer 1

Concept Introduction:-

An arithmetic number is a quantity expressed as the words, symbols, or figures and used to count and calculate.

Given Information:-

We have been given that thrice a number is increased by $11$, the result is $35$.

To Find:-

We have to find that the number.

Solution:-

According to the problem

Let the number be $x$

Therefore,

$3x+11=35\\3x=35-11\\3x=24\\x=\frac{24}{3}\\ =8$

Final Answer:-

The number is $8$.

Answer 2

The required number = 8

Given :

Thrice a number is increased by 11, the result is 35.

To find :

The number

Solution :

Step 1 of 2 :

Form the equation

Let the required number = x

Now thrice the number = 3x

When 3x is increased by 11, the result is 3x + 11

By the given condition

3x + 11 = 35

Step 2 of 2 :

Find the number

$\displaystyle \sf{3x + 11 = 35 }$

$\displaystyle \sf{ \implies 3x = 35 - 11}$

$\displaystyle \sf{ \implies 3x = 24}$

$\displaystyle \sf{ \implies x = \frac{24}{3} }$

$\displaystyle \sf{ \implies x = 8}$

Hence the required number = 8

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