The present age of Madison's mother is 3 times that of Madison. After 6 1/4
years the sum of their age will be 53 3/4.years. Find their present ages
(Estimate the solution to the nearest whole number).
Let
x ------> present age of Madison's mother
y -----> present age of Madison
so
we have
x=3y ------> equation A
Remember that
6 1/4=6.25
53 3/4=53.75
(x+6.25)+(y+6.25)=53 -----> equation B
solve the system of equations
substitute equation A in equation B
(3y+6.25)+(y+6.25)=53.75
solve for y
4y+12.50=53.75
4y=53.75-12.50
4y=41.25
y=10.3125 ------> y=10 years
Find out the value of x
x=3y
x=3(10)
x=30
therefore
the present age of Madison's mother is 30
the present age of Madison is 10