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14 December, 18:26

The sum of four consecutive natural numbers is 598. Identify any variables and write an equation to find the numbers. What are they?

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  1. 14 December, 21:40
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    Equation is 4x + 6 = 598, where x represents smaller number.

    Numbers are 148, 152, 156 and 160

    Step-by-step explanation:

    Let x be the smaller natural number,

    So, the other consecutive natural numbers are x+1, x+2, x+3,

    According to the question,

    Sum of x, x+1, x+2 and x+3 is 598,

    ⇒ x + x + 1 + x + 2 + x + 3 = 598

    ⇒ 4x + 6 = 598

    Which are the required equation,

    Subtract 6 on both sides,

    4x = 592

    Divide both sides by 4,

    x = 148

    Hence, the numbers are 148, 152, 156 and 160
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