Question

do number 19 it is of 25 points

Answer 1

let their ages be x and y.
3 years ago,
their ages=(x-3) and (y-3)
after 8 years,
ages=(x+8) and (y+8)
ATQ
(x-3)=3(y-3)
x-3=3y-9
x-3y-3+9=0
x-3y+6=0. EQ. 1

And,
x+8=2(y+8)
x+8=2y+16
x-2y+8-16=0
x-2y-8=0. EQ. 2

On Subtracting EQ. 2 from EQ. 1,
(Elimination method)
x-3y+6-(x-2y-8)
x-3y+6-x+2y+8
-y+14
-y=-14
y=14.

On putting the value of y in EQ. 2,
x-2×14-8=0
x-28-8=0
x-36=0
x=36

Hence, x=36 and y=14.

Answer 2

Answer:

Step-by-step explanation:

ages=(x+8) and (y+8)

ATQ

(x-3)=3(y-3)

x-3=3y-9

x-3y-3+9=0

x-3y+6=0. EQ. 1

And,

x+8=2(y+8)

x+8=2y+16

x-2y+8-16=0

x-2y-8=0. EQ. 2

On Subtracting EQ. 2 from EQ. 1,

(Elimination method)

x-3y+6-(x-2y-8)

x-3y+6-x+2y+8

-y+14

-y=-14

y=14.

On putting the value of y in EQ. 2,

x-2×14-8=0

x-28-8=0

x-36=0

x=36