maths

what is the four digit number which satisfies these conditions;
The last digit is twice the first digit.
The second digit is twice the third digit.
The sum of the first and last digits is twice the third digit.

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asked by somay
  1. a b c d

    d = 2 a

    b = 2 c

    a+d = 2 c

    ----------------------
    a = 2 c - d = 2 c - 2 a
    so
    3 a = 2 c
    hmmmm
    if c is 1, nope
    need common multiple for integer like
    3 a = 6
    2 c = 6
    looks like a = 2 and c = 3
    so far:
    2 b 3 d
    but d = 2 a
    2 b 3 4
    b = 2 c so
    2 6 3 4

    2634

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    posted by Damon
  2. thank you verymuch. But how 3a=6?

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    posted by somay
  3. I needed a common multiple of 2 and 3
    that is 6
    we are not doing fractions here, just integers

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    posted by Damon
  4. ok thank you. God blss you

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    posted by somay

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