Question

peter is three times as old as jasmine.five years from now. the sum of there ages will be twice Peter's present age.what is the present age of Peter?​

Answer 1

Answer:

hence peter ptesent age is 14 yrs

Step-by-step explanation:

Let Son's age be x

Let Peter's age be y

Peter's Age after 3 years= y+3

Son's Age after 3 years= x+3

We are given that In 3 years, peter will be three times as old as his son.

y+3=3(x+3)

y+3=3x+9

y=3x+9-3

y=3x+6  ---- A

Peter's Age 3 years ago= y-3

Son's Age 3 years ago= x-3

Three years ago the sum of their ages was 56

So, x-3 + y -3 = 56

x+y-6=56

x+y = 62   ----B

Substitute the value of y from A in B

x+3x+6=62

4x+6=62

4x=62-6

4x=56

x=56/4

x=14

hence peter ptesent age is 14 yrs