Question

Challenge!
1. Identify the mystery number.
• My tens digit is the sum of my hundreds digit and thousands digit.
• My tens digit is twice my ones digit.

• My hundreds digit is 1 more than zero.
• My thousands digit is seven times my hundreds digit.
• My ten thousands digit is the same as my ones digit.
Start with hundreds digit
2. Frame the possible question.
There are three numbers 5,89,030; 5,98,300 and 5,39,800. The answer is 5,39,800.​

Answer 1

Answer:

1. The mystery number is 47184.

Answer 2

Answer:

The mystery number is 47184

Explanation:

Let the number be a b c d e

e-one's digit

d-ten's digit

c-hundred's digit

b-thousand's digit

a-ten thousand's digit

1.  tens digit is the sum of  hundreds digit and thousands digit.

    d=c+b...............(1)

2. tens digit is twice  ones digit.

    d=2e.................(2)

3. hundreds digit is 1 more than zero.

    c=1.....................(3)

4. thousands digit is seven times my hundreds digit.

    b=7c..................(4)

5. ten thousands digit is the same as my ones digit.

    a=e.....................(5)

from eq1 and eq4

    b=7.......................(6)

from eq1 and eq6

    d=1+7

   d=8...........................(7)

from eq2 and eq7

    e=4..........................(8)

from eq8 and eq 5

   a=e =4......................(9)

Hence the number is 47184.