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

8 years and 32 years old

Step-by-step 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

daughter=8 and mom=32years

Step-by-step explanation:

mmom

ddaughter

m=4d

m+4=3(D+4)

4d+4=3d+12

4d-3d=12-4

d=8 and m=4*8=32

y = 1/4x - 8

Step-by-step explanation:

Given

y + 2 = 1/4 ( x - 24 )

Arranging in slope intercept form; y = mx + c

y + 2 = 1/4x - 24 /4

y+ 2 = 1/4x - 6

y = 1/4x - 6 - 2

y = 1/4x - 8

Hope it will help :)