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Popular Word Problems >

michael is 10 times as old as carol. if the sum of carol and her father, michael is 100. what is their present ages

Solution

mi c ha e l i s 10 t im es a s o l d a s c a ro l . i f t h e s u m o f c a ro l an d h er f a t h er, mi c ha e l i s 100. w ha t i s t h e i r p rese n t a g es

Solution

Carol^{'} s age is : 8 \frac{1}{3}

Michael^{'} s age is : 83 \frac{1}{3}

Solution steps

Translate the problem into an equation:

x + x + 10 x = 100

Solve for

x, x + x + 10 x = 100 : x = \frac{25}{3}

Find age

Carol^{'} s age is : 8 \frac{1}{3}

Michael^{'} s age is : 83 \frac{1}{3}

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