Find h+a+t+e?

You +your = heart
Then h+a+t+e=?where o is 4

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Subhash Curious Asked on 11th July 2018 in Other Interview Puzzles.
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    When a 3 digit number is added to a 4 digit number and the result is a 5 digit number then the highest digit of the 4 digit number must be 9 and the highest to of the result must be 10.
    Y=9
    H=1
    E=0
    O=4 (given)
    Y+O=9+4=13. There cannot be a carry from O+U. If there was a carry A would also be 4.
    A=3
    Because O+U doesn’t have a carry the result is less than 10.
    It also can’t be 9 because then R would be 9 or 0 and those numbers are already used.
    So U must be less than 5 and the only number remaining is 2.
    U=2
    R can either be 6 when there is no carry from U+R or 7 when there is.
    Because U=2 there will be no carry with either number.
    R=6
    T=U+R=8

    H+A+T+E = 1+3+8+0 = 12

    CugelTheWise Genius Answered on 26th September 2018.
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