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Liam is older than Chloe. Find Liam's age if the sum of the square of Liam's age and 5 times Chloe's age is 121.

Solution

Liam is older than Chloe. Find Liam's age if the sum of the square of Liam's age and 5 times Chloe's age is 121.

Solution

Liam^{'} s age is : \frac{- 5 + 509}{2}

Solution steps

Translate the problem into an equation:

x^{2} + 5 x = 121

Solve for

x, x^{2} + 5 x = 121 : x = \frac{- 5 + 509}{2}, x = \frac{- 5 - 509}{2}

Find Liam's age

: \frac{- 5 + 509}{2}

Liam^{'} s age is : \frac{- 5 + 509}{2}

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