Question

Q=1 In five years time Kate,s father will be three times as old as Kate.Four years ago, her father was six times as old as her.Find their present ages.

Answer 1

Answer:

Kate's age now is 10 and her father's age now is 40.

Step-by-step explanation:

Let x be the present age of Kate.

After 5 years , Kate's age will be (x+5)

Then her father's age will be 3*(x+5)

Four years ago, Kate's age was (x-4)

then her father's age was 6*(x-4)

Now the difference between her father's age five years from now and four years ago is 9 .

So

3*(x+5)-6*(x-4)=9

3*x + 15 - 6*x +24=9

-3*x +39=9

or

39-9= 3*x

30=3*x

x=30/3

x=10.

So her father's age after 5 years is 3*(x+5)

= 3*(10+5)

=3*15

=45

So her father's present age is:

45-5

=40

So Kate's age now is 10 and her father's age now is 40.

Answer 2

Answer:

Step-by-step explanation: