Question

the difference between ages of ravi and geeta is 10 years. if 5 years earlier ravi was twice as old as geeta, find there present age​

Answer 1

Answer:

r - g = 10 -------(1)

r+5 =2 (g+5)

r+5 = 2g + 10

r- 2g = 5 ----------(2)

by adding (1) (2)

-3g = 15

g = -5

age will not be negative

g = 5

put in (1)

r-5 = 10

r = 15

hope it helpful to you

Answer 2

Arjun is twice as old as Shriya. Five years ago his age was three times Shriya’s age. What are their present ages.?

Let Arjun be designated as A

Let Shriya be designated as S.

A is twice as old as S

Let S be x years old currently.

Therefore A is 2(x) years old currently.

5 years ago S was ( x - 5 ) years old

5 years ago A was (2(x) - 5) years old

5 years ago A was three times S' age.

That is, 5 years ago, ( 2x - 5 ) = 3( x - 5 )

or

2x - 5 = 3x - 15 so

3x - 2x = -5 + 15 or

x = 10

I stated that S' Current age was x years old. We have now identified x as 10 years old.

A is therefore identified as 2x years old or 20 years old.

Therefore currently Arjun and Shryia are 20 and 10 years old respectively.

PB

PP Note that 5 years ago A was 15 and S was 5, so A was three times S' age.