Question

Judy is now twice as old as Adam, but 6 years ago, she was 5 times as old as he was. How old is Judy now?

plz help bros.

Answer 1

Judy is 16 years old

Explanation:

J = Judy's age

A = Adams age

J = 2A

Six years ago (subtract 6 from the ages)

(J-6) = 5*(A-6)

Distribute

J-6 = 5A - 30

Substitute J = 2A

2A -6 = 5A -30

Subtract 2A from both sides

2A-2A -6 = 5A-2A -30

-6 = 3A -30

Add 30 to each side

-6+30 = 3A-30+30

24 = 3A

Divide by 3

24/3 = 3A/3

8 = A

Adam is 8 years old now

We need to find Judy's age

J = 2A

J = 2*8

J = 16

Judy is 16 years old