Question

1.) Two years ago, May was thrice as old as Joy. Five years hence, the difference of their ages will be 12. How old is May?

2.) Jay's father is twice as old as Jay. In 20 years, Jay will be two-thirds as old as his father. How old will each be next year?​

Answer 1

Answer:

this is the 1st questions answer

Answer 2

Answer:

1)8

2)41

Step-by-step explanation:

1)let joy age be x

Age 2 years ago=x-2

Let mary age be y

2 years ago age=y-2

Now,y-2=3(x-2)

y-2=3x-6

y=3x-6+2=3x-4 --------------- (1)

AND,(y+5)-(x+5)=12

Substituting value of y from (1):

(3x+4+5)-(x+5)=12

3x+9-x-5=12

2x+4=12

2x=8

x=4

Substituting value of x in (1):

y=3(4)-4

y=12-4

y=8

2)let jay age be x

Jay's father's age is 2x

x+20=2/3(2x+20)

x+20=4x/3+40/3

4x/3-x=20-40/3

x/3=20/3

x=20

2x=40

Jay's father's age next year =41 years