The sum of three times age of the son and the age of his father is 110

1.	The sum of three times age of the son and the age of his father is 110. IfSum of three times age of father and age of his son is 170a) What is the sum of their agesb) find their ages
Answer» LET the age of son be x and father be y So according to first condition, 3x + y = 110 .........(1) and according to second condition, 3y + x = 170..........(2) Now adding (2) and (1) => 3x + y + 3y + x = 170 + 110 => 4x + 4y = 280 => 4(x + y) = 280 => x + y = 280/4 => x + y = 70.............(3) So your first answer, the SUM of their ages is 70 Now Subtracting (1) from (2) => 3y + x - (3x + y) = 170 - 110 => 3y + x - 3x - y = 60 => 2y - 2x = 60 => 2(y - x) = 60 => y - x = 60/2 => y - x = 30...........(4) Adding (3) and (4) => x + y + y - x = 70 + 30 => 2y = 100 => y = 100/2 =] y = 50 Now putting the value of y in (3) x + y = 70 => x + 50 = 70 => x = 70 - 50 => x = 20 So the age of father is 50 years and the age of son is 20 years Hope it HELPS dear friend ☺️✌️

The sum of three times age of the son and the age of his father is 110. IfSum of three times age of father and age of his son is 170a) What is the sum of their agesb) find their ages

Answer»

LET the age of son be x and father be y

So according to first condition,

3x + y = 110 .........(1)

and according to second condition,

3y + x = 170..........(2)

Now adding (2) and (1)

=> 3x + y + 3y + x = 170 + 110

=> 4x + 4y = 280

=> 4(x + y) = 280

=> x + y = 280/4

=> x + y = 70.............(3)

So your first answer, the SUM of their ages is 70

Now Subtracting (1) from (2)

=> 3y + x - (3x + y) = 170 - 110

=> 3y + x - 3x - y = 60

=> 2y - 2x = 60

=> 2(y - x) = 60

=> y - x = 60/2

=> y - x = 30...........(4)

Adding (3) and (4)

=> x + y + y - x = 70 + 30

=> 2y = 100

=> y = 100/2

=] y = 50

Now putting the value of y in (3)

x + y = 70

=> x + 50 = 70

=> x = 70 - 50

=> x = 20

So the age of father is 50 years and the age of son is 20 years

Hope it HELPS dear friend ☺️✌️