Question

To a certain number 8 is added. The sum is multiplied by 3, then the product is divided by 2 and 7 is subtracted from the quotient. The remainder is 50. The number is :
1. 30    
2. 40
3. 50 
4. 60 ​

Answer 1

Answer:

(1) 30

Hi Mate!

Here is your answer

Let the certain number be x 

Step I (x+8)

Step II 3(x+8)

Step III 3(x+8) /2

Step IV 3(x+8)/2 −7= 5

3(x+8)−14=2×50

3x+24−14=100

3x+10=100

3x=100-10

3x=90

x=90/3

=30

Answer 2

Answer:

Option(a) is the correct answer.

The required number is 30.                            

Step-by-step explanation:

Let the number be x.

• When 8 is added it becomes , Sum = x+8.

• When the sum is multiplied by 3, then the product is divided by 2 and 7 is subtracted from the quotient.

• Sum is multiplied by 3 is given by 3(x+8).

• Product 3(x+8) is divided by 2 is written as [3(x+8)]/2.

• 7 is subtracted from the quotient is written as

                    [3(x+8)/2]-7

      then the remainder is 50, it is written as

                     [3(x+8)/2]-7 = 50

   now we need to find the value of x from the mathematical expression.

     Consider,  [3(x+8)/2]-7 = 50

                      [(3x+24)/2]-7 = 50

                         [(3x+24)/2] = 50+7

                           3x+24 = 57×2

                           3x+24 = 114

                                 3x = 114-24

                                   3x = 90

                                     x = 90/3

                                     x = 30

     Hence, The required number is 30.

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