Question

A mom is 4 times older than her daughter. In four years,she will be 3 times older than her daughter. Find there ages now

Answer 1

daughter=8 and mom=32years

Explanation:

m-------mom

d---------daughter

m=4d

m+4=3(D+4)

4d+4=3d+12

4d-3d=12-4

d=8 and m=4*8=32

Answer 2

8 years and 32 years old

Explanation:

Let x be the age of the mother now and y be the age of the daughter now then...

x=4y

4+x=3(y+4)

Note that in the second equation we are adding 4 because it says "in four years"

Simplify the second equation to get:

4+x=3(y)+3(4)

4+x=3y+12

Subtract 4 from both sides

x=3y+8

Solve using substitution (substitute 4y for x)

4y=3y+8

Subtract 3y from both sides

y=8

x=4(8)=32

The mother is 32 years old and her daughter is 8 years old