A man is 5 times as old as his son .he will be three times as old a hi

1.	A man is 5 times as old as his son .he will be three times as old a his after 10 years .find their present ages
Answer» SOLUTION :- LET :- PRESENT age of son = x Present age of man = y After 10 years :- Age of son = x + 10 Age of man = y + 10 According to the first condition :- $\longrightarrow \sf y = 5x \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ...................(1)$ According to the second condition :- $\longrightarrow \sf 3(x+10) = y +10 \\\\\longrightarrow 3x+30 = y+10 \\\\\longrightarrow 3x-y = 10-30 \\\\\longrightarrow 3x-y = -20 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ...................(<klux>2</klux>)$ Substitute the VALUE of y in eq (2) :- $\longrightarrow \sf 3x - 5x = -20 \\\\\longrightarrow -2x = -20 \\\\\longrightarrow \bf x = 10$ Substitute x = 10 in eq (1) :- $\longrightarrow \sf y = 5 \times 10 \\\\\longrightarrow \bf y = 50$ Present age of son = 10 years Present age of man = 50 years

A man is 5 times as old as his son .he will be three times as old a his after 10 years .find their present ages

Answer»

SOLUTION :-

LET :-

PRESENT age of son = x

Present age of man = y

After 10 years :-

Age of son = x + 10

Age of man = y + 10

According to the first condition :-

$\longrightarrow \sf y = 5x \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ...................(1)$

According to the second condition :-

$\longrightarrow \sf 3(x+10) = y +10 \\\\\longrightarrow 3x+30 = y+10 \\\\\longrightarrow 3x-y = 10-30 \\\\\longrightarrow 3x-y = -20 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ...................(<klux>2</klux>)$