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The smallest of three consecutive even numbers is 598.
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What are the other two?
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Before we start thinking about the numbers involved, let’s remind ourselves what the word consecutive means.
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It might be a long word, but it just means one after another.
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So if we’re thinking about three consecutive numbers, we’re thinking about three numbers that come one after the other.
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They belong next door to each other on a number line.
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We’re told that the smallest of three consecutive even numbers is 598.
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This means that the other two numbers we’re looking for are going to be greater than 598.
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598 is the smallest of the three.
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So surely this just means that we should count on from 598.
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The next number that comes after it would be 599.
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And the number after that is 600.
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So have we found our other two numbers?
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Well, if we think this, then we need to read our question more carefully.
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There’s a word in the question that we haven’t thought about.
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We’re told that the smallest of three consecutive even numbers is 598.
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Now, consecutive even numbers must be even numbers that come one after another.
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We know that an even number contains a two, a four, a six, an eight, or a zero in the one’s place.
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That’s how we know 598 is an even number.
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It has eight ones.
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599 is an odd number because nine is an odd digit, so we can forget 599.
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But the next consecutive even number after 598 is 600.
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600 contains zero ones.
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After 600 comes 601, which we can forget about because this is an odd number, and then comes 602, which we know is an even number.
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So the way to find consecutive even numbers is simply to count in twos.
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598, 600, 602.
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If the smallest of three consecutive even numbers is 598, the other two numbers are 600 and 602.