Question

Mary is two years younger than Juan. In 5 years, Mary will be 2/3 the age of Juan. How old is Juan?​

Answer 1

Step-by-step explanation:

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Answer 2

Juan's age is 16 years

and, Mary'sage is 14 years.

Step-by-step explanation:

if Juan's age = x

then Mary's age will be = $x-2$

after 5 years

Juan's age = $x+5$

Mary's age = $\frac{2}{3} * (x +5)$

$x-2 = \frac{2}{3} * (x+5)\\3*(x-2) = 2*(x+5)\\3x-6 = 2x +10\\x= 16$

hence, Juan's age is 16 years

and, Mary'sage is 14 years.