Maddie’s age 8 years ago when multiplied by 55 is the same as triple Maddie’s age in 2 years’ time.Solve an equation to find Maddie’s current age.
Question
Maddie’s age 8 years ago when multiplied by 55 is the same as triple Maddie’s age in 2 years’ time.
Solve an equation to find Maddie’s current age.
Solution
Let's denote Maddie's current age as x.
According to the problem, Maddie's age 8 years ago multiplied by 55 is the same as triple Maddie's age in 2 years.
This can be written as an equation:
55*(x - 8) = 3*(x + 2)
Expanding both sides of the equation gives:
55x - 440 = 3x + 6
Subtract 3x from both sides:
52x - 440 = 6
Add 440 to both sides:
52x = 446
Finally, divide both sides by 52 to solve for x:
x = 446 / 52
x ≈ 8.58
Since age is usually measured in whole years, we can round this to the nearest whole number. Therefore, Maddie is approximately 9 years old.
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