Question

3. The sum of three consecutive whole numbers is 153. Find the largest number.​

Answer 1

Answer :-

• The largest number is 52.

Step-by-step explanation ::

To Find :-

• The largest number

Solution :-

Given that,

• The sum of three consecutive whole numbers = 153

Assumption:

Let us assume the three whole numbers as x, ( x + 1 ) and ( x + 2 ),

Therefore,

• x + ( x + 1 ) + ( x + 2 ) = 153

⟹ x + ( x + 1 ) + ( x + 2 ) = 153

⟹ x + x + 1 + x + 2 = 153

⟹ x + x + x + 1 + 2 = 153

⟹ 3x + 3 = 153

Transposing 3 from L.H.S to R.H.S,

⟹ 3x = 153 - 3

⟹ 3x = 150

Transposing 3 from L.H.S to R.H.S,

⟹ x = 150/3

Dividing 150 and 3 with 3

⟹ x = 50.

• The value of x is 50.

Hence, the numbers are :-

• The number which we assumed as x

⟹ x

⟹ 50

• The number which we assumed as ( x + 1 )

⟹ x + 1

⟹ 50 + 1

⟹ 51

• The number which we assumed as ( x + 2 )

⟹ x + 2

⟹ 50 + 2

⟹ 52

• The numbers are 50, 51 and 52.

According the question,

The largest number is,

• 52 > 51 > 50

Hence, the largest number is 52.

Answer 2

$\Large\underline{ \frak{ \: \: \: \: \: \: \: \: \: \: \: \orange\bigstar{} \pink{Required ~Solution} \: \: \: \: \: \: \: \: \: \: \:}}$

Given:

• Sum of three consecutive numbers = 153

To find :

• largest number

Let:

• First number = x

• Second number = x +1

• Third number = x + 2

$\bigstar \underline{ \boldsymbol{According \: to \: question: }}$

$\dashrightarrow \sf{}first \: number + second \: number + third \: number = 153$

$\dashrightarrow \sf{}x +( x + 1) + (x + 2) = 153$

$\dashrightarrow \sf{}x + x + 1 +x + 2 = 153$

$\dashrightarrow \sf{}x + x +x + 2 + 1= 153$

$\dashrightarrow \sf{}3x + 2 + 1= 153$

$\dashrightarrow \sf{}3x + 3= 153$

$\dashrightarrow \sf{}3x = 153 - 3$

$\dashrightarrow \sf{}3x = 150$

$\dashrightarrow \sf{}x = \dfrac{150}{3}$

$\dashrightarrow \sf{}x = \cancel\dfrac{150}{3}$

$\dashrightarrow \underline{ \boxed{ \sf{}x = 50}}$

Verification:

$\dashrightarrow \sf{}x +( x + 1) + (x + 2) = 153$

put value of x in this equation

$\dashrightarrow \sf{}50 +( 50+ 1) + (50 + 2) = 153$

$\dashrightarrow \sf{}50 +( 51) + (52) = 153$

$\dashrightarrow \sf{}50 + 51 + 52= 153$

$\dashrightarrow \underline{ \boxed{ \sf{}153 =1 53}}$

$\gray{ \bf \dag \bf{}Hence verified \bf \dag}$

Finally Let's find largest number:

• Largest number = x + 2

• Largest number= 50 + 2

• Largest number= $\boxed{\bf{}52}$✔