Question

john wants to send a letter to peter who lives on tesla street. john doesn't remember the house number however he knows that it has4 digits it is a multiple of 5 and 7 and the last digit is 0 how many letters does he have to send out to ensure peter receives his letter

Answer 1

Answer:

I do not know

Step-by-step explanation:

very very sorry

Answer 2

Answer:

John have to send out 142 letters to ensure that Peter recieves his letter.

Step-by-step explanation:

Given that :

• 4 digit number is a multiple of 5 and 7 and has 0 as its last digit.

Solution :

• Since, zero is the last digit of the 4 - digit number. So, it is a multiple of 10 which means it is also a multiple of 5 also.
• The 4 - digit number is multiple of 7 also.
• It means that 4 - digit number is multiple of 70; i.e. 70 = 5 x 2 x 7 .
• Considering, that the 4 - digit number starts from 0000 and ends on 9999.
• The first 4 digit number which is multiple of 70 is 0070 and last 4 digit number which is multiple of 70 is 9940.
• Total number of multiples of 70 between 0070 and 9940 is

$n = \frac{9940}{70} = 142$

• Hence, John have to send out 142 letters to ensure that Peter recieves his letter.