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Iestion 10 (5 points)

The sum of Jack and his father's ages is 52. Jack's father's age is 2 less than 5 times Jack's age. Find the ages of Jack
and his father.


1 Answer

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Answer:

Jake is 9, and Jake's dad is 43.

Explanation:

Ok, let's start off by putting a variable for Jack's age, A.

We know that Jack's father is 2 less than 5 times, so we can write his as 5x -2.

Now let's make an equation:

52 = x + 5x - 2

We need to isolate the x-values so we need to add 2 on both sides:

54= x + 5x

No we need to add the like terms:

54 = 6x

Finally, we just divide by 6 on each side.

Now we know X = 9 but we're not done yet :)

So because Jake's dad is almost 5 times as much, we first multiply Jack's age by 5. We get 45 but we need to subtract 2 which leaves us with 43.

User Shafin Mahmud
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