the expression for a 3 digit number, when the hundred digit is a, the ten digit is b and the units digit is c.​

Question

the expression for a 3 digit number, when the hundred digit is a, the ten digit is b and the units digit is c.​

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Delilah 1 month 2021-08-19T22:10:01+00:00 1 Answer 0 views 0

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    2021-08-19T22:11:14+00:00

    Step-by-step explanation:

    In a 3-digit number,

    Like this one: 100a+10b+c

    the hundreds digit is twice the tens digit

    So a=2. That works for me.

    while the units digit is thrice the tens digit.

    Okay, so c=3b. Sounds good.

    Also, the sum of its digits is 18.

    I believe you are suggesting that a+b+c=18. Sure, okay

    What’s the number?

    Well, we’ll start with the sum of the digits, and replace with what is given. So:

    a+b+c=18

    2b+b+3b=18

    6b/6=18/6

    b=3

    Now that we know what the tens digit (b) is, the remaining digits are easy enough.

    a=2b, so a=6

    c=3b, so c=9

    So the three digit number must be 639.

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