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?
Answers
Answer:
ok wait
Step-by-step explanation:
RN = RT + 2
RN = Z + 5
RN + Z = (RT - 5) * 3
RN + ( RN -5) = (RN -2-5)*3
RN = 16 years
Current age of Rita = RN -2 = 14 years
Answer:
The current age of Rita is 14 years.
Step-by-step explanation:
Let the present age of Reena be 'x'
the present age of Rita be 'y'
and the present age of Zoha be 'z'.
Given that x > y > z
According to the conditions given in the question,
=> x = y + 2 --(i)
=> x = z + 5 --(ii)
On equating equation (i) and (ii), we get,
y + 2 = z + 5
=> y - z = 5 - 2
=> y - z = 3 --(iii)
The age of Rita 5 years ago = y - 5
=> x + z = 3 (y - 5)
Substituting the value of x from equation (i),
=> y + 2 + z = 3y - 15
=> -2y + z = -17 --(iv)
Solving equation (iii) and (iv),
=> -y = -14
=> y = 14
As we assumed the present age of Rita to be 'x'
Therefore, The current age of Rita is 14 years.