Problema Solution

linda and mark their ages total 80years.2years ago 2times marks age was 2 years more than 3 times lindas age how old are they? thank you

Answer provided by our tutors

Let Linda's age be x

Let Mark's age be y

x+y=80 (solve for y)

y=80-x (subitution) 

Two years ago Mark's age = y-2

Two years ago Linda's age = x-2 

Equation:

3(x-2)+2=2(y-2)

3x-6+2=2y-4

Subsitue for y

3x-4=2(80-x)-4

3x-4=160-2x-4

5x=160

x=32 

y=80-32

y=48 

Hence, Linda is 32 years old and Mark is 48 years old.