Question

Alexi thinks of a number. he multiplies his number by 10 and then divides the answer by 100. he then multiples this answer by 1000 and gets a final answer of 67. What number does Alexi thinks of first ?​ please tell fast

Answer 1

The number Alexis thinks of first is 6.7.

Explanation:

Let the number Alexis thinks of be x and the first answer he got be y.

Since he multiplies the number by x and divides the answer by 100, the equation is

10x = y

10x =
`(y)/(100)`

Then, he multiplies this answer,
`(y)/(100)`, by 1000 and gets a final answer of 67. The equation is

`(y)/(100)` × 1000 = 67

To find y, you divide 1000y by 100 which gives 10y.

i.e.
`(1000y)/(1000) = 67`

10y = 67

Divide both sides of the equation by the coefficient of y (which is 10)

`(10y)/(10) = (67)/(10)`

y = 6.7

Substituting 6.7 for y in 10x = y

10x = 6.7

Divide both sides of the equation by the coefficient of x (which is 10)

`(10x)/(10) = (6.7)/(10)`

x = 0.67

∴ The number Alexis thinks of first is 0.67.

Hope this helps!!! :))

Answer 2

0.67

Explanation:

Solution 1

We can work out the initial number by going backwards from the end:

67/1000= 0.067

0.067*100= 6.7

6.7/10= 0.67

Solution 2

(x*10/100)*1000= 67

x/10*1000= 67

100x= 67

x=67/100

x=0.67