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Popular Word Problems >

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

L iam i s o l d er t han C h l oe . F in d L ia m^{'} s a g e i f t h e s u m o f t h e s q u a re o f L ia m^{'} s a g e an d 5 t im es C h l o e^{'} s a g e i s 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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