Answer :
Answer:
- Mike is 68 and John is 32
Step-by-step explanation:
Set equations as follows
20 years ago
Mike was four times as old as John:
- x - 20 = 4(y - 20)
Four years from now
Mike will be twice as old as John:
- x + 4 = 2(y + 4)
Simplify each equation
- x - 20 = 4y - 80 ⇒ x = 4y - 60
- x + 4 = 2y + 8 ⇒ x = 2y + 4
Solve for y by substitution
- 4y - 60 = 2y + 4
- 4y - 2y = 60 + 4
- 2y = 64
- y = 32
Find the value of x
- x = 2*32 + 4 ⇒ x = 68
I hope you can convert the above equations into required format. Let me know if not.