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What is the present age of Tanya?
I.The ratio between the present ages of Tanya and her brother Rahul is 3 : 4 respectively.
II.After 5 years the ratio between the ages of Tanya and Rahul will be 4 : 5.
III.Rahul is 5 years older than Tanya.
A. I and II only
B. II and III only
C. I and III only
D. All I, II and III
E. Any two of the three
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-
- Answer: Option E
Explanation:
I. Let the present ages of Tanya and Rahul be 3x years and 4x years.
II. After 5 years, (Tanya's age) : (Rahul's age) = 4 : 5.
III. (Rahul's age) = (Tanya's age) + 5.
From I and II, we get 3x + 5 = 4 . This gives x.
4x + 5 5
Tanya's age = 3x can be found. Thus, I and II give the answer.
From I and III, we get 4x = 3x + 5. This gives x.
Tanya's age = 3x can be found. Thus, I and III give the answer.
From III : Let Tanya's present age be t years.
Then Rahul's present age = (t + 5) years.
Thus, from II and III, we get : t = 4 . This gives t.
t + 5 5
Thus, II and III give the answer.
Correct answer is (E). - 12 years agoHelpfull: Yes(7) No(1)
- LET TANIAS N RAHULS PRESENT AGE B X AND Y RESPECTIVELY
I)X:Y=3:4 -> X=(3/4)Y
II)X+5/Y+5=4/5
III)X=Y-5
THERE ARE TWO UNKNWNS N THREE EQUATIONS...SO X AND Y CAN B FOUND OUT EASILY USING ANY OF THE TWO EQUATIONS
X=15
Y=20 - 12 years agoHelpfull: Yes(3) No(0)
- ratio between present ages of Tanya and her brother is 3:4 may be 15:20
after 5 years ratio is 4:5 means 20:25
(or)
Rahul is 5 years older than Tanya means if add 5 years to their both ages 20:25
so the answer is present age of Tanya is 15 years.
option E is correct answer.. - 8 years agoHelpfull: Yes(0) No(0)
- present ages of tanya and rahul are 3x,4x
after 5 years ages ratio is 3x+5,4x+5
3x+5/4x+5=4/5
5(3x+5)=4(4x+5)
15x+25=16x+20
x=5
present age of tanya is =3x=3(5)=15 - 7 years agoHelpfull: Yes(0) No(0)
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