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23 April, 20:54

An integer 3a5b can be divided by 5 and 6, what is the value of a + b.

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  1. 23 April, 21:01
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    a + b = 1 or 4

    Step-by-step explanation:

    The integer = 3a5b

    The factors of the integer includes 5 and 6

    ∴ 5 * 6 = 30 is a factor of the integer hence 10 is also a factor which gives b = 0

    We check for factors of four digit numbers with the first digit = 3, last digit = 0, penultimate to the last digit = 5 and divisible by 30

    We have a50 divisible by 30, which gives, a5 divisible by 3 which includes

    15 and 45 hence a can be 1 or 4 and a + b = 1 + 0 = 1 or 4 + 0 = 4.
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