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18 July, 08:51

Mark is six years older than his brother Sam. The sum of their ages is 30. Let a be Sam's age. Set up and solve an equation using the information given to find the value of a.

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  1. 18 July, 09:08
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    a = 12 years

    Step-by-step explanation:

    Mark is 6 years older than his brother Sam. Now, we are asked to represent Sam's age by a. This means that if Sam is a years old, Mark is (a + 6) years old.

    The sum of their ages is 30, this means that when we add their ages together, we get the sum of thirty.

    Mathematically this means a + a + 6 = 30

    2a + 6 = 30

    This is the equation needed to get a. To get a, we proceed to solve the equation to completion.

    2a = 30 - 6

    2a = 24

    a = 24/2

    a = 12
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