Question #91125

Question

Question #91125

1 Answer

Impact of this question

1002 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-22T09:51:44

Convert the sentences into algebraic equations between each digit, then solve to get $0.013$ $0.013$ .

Explanation:

Since the digits mentioned are the tenth place, the hundreth place, and a "last" digit, we could assume that this decimal must have three digits, as in

$0.ABC$ $"0.ABC"$ ,

where $A$ $A$ is the tenth place, $B$ $B$ is the hundredth place and $C$ $C$ is the thousandth place, or the last digit.

The information given is that the last digit is three, so

$C = 3$ $C = 3$ ,

Then the tenth place, $A$ $A$ , is compared to the two other digits:

"you will find (that the tenth place is) a digit one less than the digit in my hundreth place ..."

which means

$A = B - 1$ $A = B - 1$ ,

"... and (the tenth place is) three less than my other digit (which is the last digit)."

which means

$A = C - 3$ $A = C - 3$ .

Since we know $C = 3$ $C = 3$ , we immediately get that

$A = C - 3 = 3 - 3 = 0$ $A = C - 3 = 3 - 3 = 0$ ,

and since we now know the value of $A$ $A$ , we could solve for $B$ $B$ :

$A = B - 1 \to 0 = B - 1$ $A = B - 1 rarr 0 = B - 1$

Simply add $1$ $1$ to both sides of the equation to get $B = 1$ $B = 1$ .

So we have $A = 0$ $A = 0$ , $B = 1$ $B = 1$ and $C = 3$ $C = 3$ , meaning that the decimal must be $0.013$ $0.013$ .

Science

Math

Humanities

... and beyond

Question #91125

1 Answer

Explanation:

Related questions

Impact of this question