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Twenty years ago, Mike was four times as old as John. Four years from now mike will be twice as old as John let x represent Mike's age and y represent Johns age. Helppp! I need an equation in either standard or slope-intercept form! WILL GIVE BRAINLIEST!

Sagot :

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.