Question

Name:

Shah Is A Secret )
Shh! It's a Secret
Ava makes up a number puzzle for Layla. Layla uses the clues to figure out the secret
number
Clues:
3. SOU
• The number has four digits and falls between eight thousand, fifty and eight
thousand five hundred on the number line.
• All of the digits are different.
• The number in the thousands place is twenty times the number in the hundreds
place.
- The number in the hundreds place is twenty times the number in the tens place.
The number in the tens place is twenty times the number in the ones place.
Vhat is the secret number?​

Answer 1

8421

Explanation:

8050 < abcd < 8500

We must have a = 8, so the number is 8bcd.

The value of a is 20 times the value of b, or a= 2b.

a = 8, so b = 4.

The value of b is 20 times the value of c, or b = 2c.

b = 4, so c = 2.

The value of c is 20 times the value of d, or c = 2d.

c = 2, so d = 1.

The secret number is 8421.