Question

Abigail is 8years older than Cynthia. Twenty years ago Abigail was three times as old as Cynthia. How old are each now?

Answer 1

Answer:

Abigail age=32 and Cynthia age=24

Step-by-step explanation:

Abigail is 8years older than Cynthia. Twenty years ago Abigail was three times as old as Cynthia

LEts A be the age of Abigail

and C be the age of Cynthia

Abigail is 8years older than Cynthia

A = C+8

Twenty years ago Abigail was three times as old as Cynthia

A-20= 3(C-20)

WE use both equation and solve for A  and C

Replace A with C+8

C+8-20= 3(C-20)

C-12 = 3C - 60

Subtract 3C from both sides

-2C - 12= -60

Add 12 on both sides

-2C= -48

divide both sides by -2

C= 24

LEts find out A

A= C+8

A= 24+8 = 32