Math, asked by Adanaikaran9us, 1 year ago

Choose the Correct Option Related to Present Age of Tanya
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. 1. I and II only 2. II and III only 3. All I, II and III 4. I and III only 5. Any two of the three.

Answers

Answered by ARoy
0
5. Any two of the three.
From I and II , let the present age of tanya and her brother is 3x and 4x. Then
3x+5/4x+5=4/5
on solving we get x=5 i.e., age of tanya=15 yrs. and her brother=20yrs.
From II and III, let tanya's present age=x. Then her  brother's age=x+5. Thus,
x+5/x+5+5=4/5
On solving we get, tanya's age=x=15 yrs. and her brother's age=15+5=20 yrs.
From I and III, let tanya and her brother's age are 3x and 4x. Then,
3x+5=4x
On solving we get, x=5. Thus tanya's age=15 yrs. and her brother's age=20 yrs.
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