Question

10 years hence, the age of x will be 2 time that age of y . 10 years ago, the age of x was 6 times that age of y. What are their present age .

Answer 1

Answer:

The present of x=40and y=15

Step-by-step explanation:

$by \: the \: 1st \: condition \\ (x + 10) = 2(y + 10) \\ x + 10 = 2y + 20 \\ x - 2y = 10 - - - - - - - (1) \\ by \: the \: 2nd \: condition \\ (x - 10) = 6(y - 10) \\ x - 10 = 6y - 60 \\ x - 6y = - 50 - - - - - - - - (2) \\ x - 2y = 10 \\ x - 6y = - 50 \\ 4y = 60 \\ y = 15 \\ x - 2(15) = 10 \\ x - 30 = 10 \\ x = 40$