Question

Jenny is 12 years older than Steve. Five years ago, Jenny was four times older than Steve was then. How old are Jenny and Steve now?

Answer 1

Let:

The age of Jenny be x

The age of Steve be y

To Find:

The age of Jenny and Steve=?

Solution:

To find the age of Jenny and Steve , at first we have to set up equation as per the given clue in the question then solve those equation:

Given in case (I)

Jenny is 12 years older then Steve:

==>X=Y+12----(i)

Given in case (ii)

Five years ago, Jenny was four times older than Steve :

==>X-5=4(Y-5)

==>X-5=4Y-20

==>X-4Y=-20+5

==>X-4Y=-15-------(ii)

In eq (ii) putting the value of X=Y+12 Here:

==>Y+12-4y=-15

==>Y-4Y=-15-12

==>-3Y=-27

==>Y=9

Putting the value of y=9 in eq (i) here:

==>X=Y+12

==>X=9+12

==>X=21

Hence,

The age of Jenny=21 years

The age of Steve=9 years

Answer 2

Answer:

☆Let Steve's present age be x years☆

Then,

♧Jenny's age=x+12 years♧

Now,

Five years ago (before),

♤Steve's age was x-5 years♤

♡Jenny's age was x+12-5= x+7 years♡

ACQ,

》》4(x-5)=x+7 {It is shown that 5 years ago jenny was 4 times older than Steve so that 4 times of Steve's age is equal to 1 time of Jenny's}

》》4x-20=x+7

》》4x-x=20+7 [By transporting]

》》3x=27

》》x=9

Ans:Jenny's age = 9 years and Steve's

age=9+12=21 years