Lydia is having a party on Saturday. She decides to write a riddle on her invitations to describe her house number on Cypress Street. Use the clues below to find Lydia's address. My address is a 5−digit number. The tens digit is 6 less than 7. The thousands digit is twice the digit in the tens place. The hundreds digit is the greatest even number that is less than 10. The ones digit is the product of 5 and 1. The ten thousands digit is the difference between the hundreds digit and the ones digit. Lydia's address is Cypress Street.

Question

contestada

Respuesta :

MrRoyal MrRoyal · Answer 1 · 2020-10-21T18:53:12+02:00

Answer:

Lydia's address is Cypress Street is: 51823

Step-by-step explanation:

Represent the digit as ABCDE such that:

A = Ones

B = Tens

C = Hundred

D = Thousand

E = Ten Thousand

Analyzing the statements one after the other:

The tens digit is 6 less than 7.

[tex]B = 7 - 6[/tex]

[tex]B = 1[/tex]

The thousands digit is twice the digit in the tens place.

[tex]D = 2B[/tex]

[tex]D = 2 * 1[/tex]

[tex]D = 2[/tex]

The hundreds digit is the greatest even number that is less than 10.

[tex]C = 8[/tex]

The ones digit is the product of 5 and 1.

[tex]A = 5 * 1[/tex]

[tex]A = 5[/tex]

The ten thousands digit is the difference between the hundreds digit and the ones digit.

[tex]E = C - A[/tex]

[tex]E = 8 - 5[/tex]

[tex]E = 3[/tex]

Lydia's address is Cypress Street is: 51823