Question

Nasir thinks of a number, doubles it. Adds 7, multiplies it by 4 then divides
it by 6 to give the final answer 10. What was the number

Answer 1

Answer:

He thought of the number 4.

Step-by-step explanation:

Let the number be x.

If he doubles it we will get = x + x

= 2x

If he adds 7 we get = 2x + 7

If he multiplys with 4 we get = (2x+7)4

If he divides by 6 we get = (2x+7)4 /6

As per the question,

(2x + 7)4 / 6 = 10

2x + 7 = 15

2x = 8

x = 4

He thought of the number 4.

Answer 2

Given,

Nasir thinks of a number, doubles it. Adds 7, multiplies it by 4 then divides

it by 6 to give the final answer 10.

To Find,

The number =?

Solution,

We can find the number as follows:
Let the number be x.

Now, Nasir doubles the number. Hence, it will become,

$= 2x$

Next, he adds 7 to the result and multiples it by 4. The result will be,

$= (2x + 7)4$

$= 8x + 28$

Next, he divides the number by 6 to give the final answer as 10. The result will be,

$= \frac{8x + 28}{6} = 10$

Now, to find the value of x, we will solve the above equation.

$\frac{8x + 28}{6} = 10$

Cross-multiplying both sides,

$8x + 28 = 60$

$8x = 60 - 28$

$8x = 32$

$x = \frac{32}{8} = 4$

Hence, the number is equal to 4.