Question

Reena, Rita and Zoha are three friends,
Reena is the eldest followed by Rita and
Zoha Reena is 2 years elder to Rita and 5
years elder to Zoha. The sum of the
present age of Reena and Zoha is 3 times
the age of Rita 5 years ago. What is the
current age of Rita?
12 years
14 years
O O OC
16 years
18 years​

Answer 1

Answer:

15 years

Step-by-step explanation:

Reena's age, e

Rita's age, i

Zoha's age, z

Reena is the eldest followed by Rita and

Zoha

e > i > z

Reena is 2 years elder to Rita

e = i + 2

i = e - 2

Reena is 5 years elder to Zoha.

e = z + 5

z = e - 5

The sum of the

present age of Reena and Zoha is 3 times

the age of Rita 5 years ago

e + z = 3(i - 5)

e + e - 5 = 3(e - 2 - 5)

2e - 5 = 3e - 21

e = 17

then i = e - 2 = 17 - 2 = 15