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Popular Word Problems >

Katlyn and Sarah are best friends. Sarah is 36 years less than double Katlyn's age. In 6 years, Sarah's age will be 12 years more than half of Katlyn's age. How old is each girl?

Solution

K a tl y n an d S a r ah a re b es t f r i e n d s . S a r ah i s 36 ye a rs l ess t han d o u b l e K a tl y n^{'} s a g e . I n 6 ye a rs, S a r a h^{'} s a g e w i ll b e 12 ye a rs m ore t han ha l f o f K a tl y n^{'} s a g e . Ho w o l d i s e a c h g i r l ?

Solution

Katlyn^{'} s age is : 30

Sarah^{'} s age is : 24

Solution steps

Translate the problem into an equation:

2 x - 36 + 6 = 12 + \frac{1}{2} (x + 6)

Solve for

x, 2 x - 36 + 6 = 12 + \frac{1}{2} (x + 6) : x = 30

Find age

Katlyn^{'} s age is : 30

Sarah^{'} s age is : 24

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