Question

Use the three steps to solve the problem.

Two years ago a father was four times as old as his son. Three years from now the father will be only three times as old as the son. How old is each now?

{son is yrs., father is yrs.}

Answer 1

Let the present age of son be x and the age of father be y.
Can u tell me what was the age of the father two yrs ago?

Answer 2

no i dont know i am srry

Answer 3

Subtract 2 from the present age y.

Answer 4

so it would be 2-y*4 right?

Answer 5

hmm no.
The age of father two yrs ago is y-2.
And the son,s is x-2.
Since it is given that the father's age was 4 times the age of son
y-2=4(x-2).
Getting it?

Answer 6

kinda

Answer 7

Is it confusing? If so plz ask.

Answer 8

yes it's confusing

Answer 9

How old are u nw?

Answer 10

what was ur age before two yrs?

Answer 11

U subtracted to frm ur present age to find the age bfore 2 yrs. right?I assumed father's present age to be y. then his age before two yrs wud have been y-2. Is is it clear?

Answer 12

yes

Answer 13

The age of the son bfore two yrs wud hav been x-2. Getting it?

Answer 14

mmhhh

Answer 15

sorry? isn't t clear?

Answer 16

it is

Answer 17

Since it is given that the age of the father was 4 times the son's age
y-2=4(x-2)

Answer 18

Getting it?

Answer 19

yes

Answer 20

What will be the age of the father after three years?

Answer 21

y+3

Answer 22

yup right:)

Answer 23

What will be the age of the son?

Answer 24

x+3

Answer 25

Since it is given that the father's age will be three times of the age of the son
y+3=3(x+3)
getting it?

Answer 26

okay

Answer 27

So u hav two eqns
y-2=4(x-2)
y+3=3(x+3)
Can u find x and y?

Answer 28

y-2=4x-8
y+3=3x=9

Answer 29

y-2=4x-8
y+3=3x+9
ya right:). Nw solve these equations to find x and y. can u do it?

Answer 30

idk

Answer 31

y-2=4x-8
what do u get when u add 2 to both sides?

Answer 32

10

Answer 33

y-2+2=4x-8+2
y=4x-6

Answer 34

y+3=3x+9
What do u get when u subtract 3 from both of the sides?

Answer 35

12

Answer 36

hmm no.
y+3-3=3x+9-3
y=3x+6
Getting it?

Answer 37

yes

Answer 38

So u have two eqns
y=4x-6
y=3x+6.
Since both 4x-6 and 3x+6 are equal to y you can equate them.
4x-6=3x+6
Can u find x nw?

Answer 39

10

Answer 40

hmm no.
1.Add 6 both sides
2.Subtract 3x both sides.
What do u get nw?

Answer 41

1x

Answer 42

That is vat u get in left hand side. What do u get in ur right hand side?

Answer 43

0

Answer 44

@robtobey can u help me?

Answer 45

Solve the following for f and s, the father's and son's current age respectively.\[\left\{\frac{f-2}{s-2}=4,\frac{f+3}{s+3}\text{=}3\right\}\]Can you solve the above for f and s?

Answer 46

idk i dont know how to do it

Answer 47

Is the following easier?\[\{f-2=4(s-2),f+3=3(s+3)\}\]

Answer 48

i dont know this is all confusing to me

Answer 49

focus on the equation on the left.
f - 2 = 4 (s - 2)
Multiply out the RHS
f - 2 = 4 s - 8
Move -2 to the RHS.
f = 4 s - 8 + 2
Add -8 and +2
f = 4 s -6
Replace f in the second equation with 4 s -6
f + 3 = 3 (s + 3)
(4 s -6) + 3 = 3 (s + 3)
Can you solve the above for s and get a number?

Answer 50

son is 7

Answer 51

I have to log off now.
The answer is\[\{f=42,s=12\} \]
You should verify the answer yourself.

Answer 52

okay