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UPSC CDS Math Linear Equations in One and Two Variables Questions
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© examsnet.com
Question : 2
Total: 41
Radha and Rani are sisters. Five years back, the age of Radha was three times that of Rani, but one year back the age of Radha was two times that of Rani. What is the age difference between them ?
[2019 CDS-II]
8
9
10
11
Validate
Solution:
Radha's Age
=
A
Rani's Age
=
B
A
−
5
B
−
5
=
3
⇒
A
−
5
=
3
(
B
−
5
)
⋅
⋅
⋅
⋅
⋅
⋅
⋅
⋅
⋅
⋅
⋅
⋅
⋅
⋅
(
i
)
A
−
1
B
−
1
=
2
⇒
A
−
1
=
2
(
B
−
1
)
⋅
⋅
⋅
⋅
⋅
⋅
⋅
⋅
⋅
⋅
⋅
⋅
⋅
⋅
(
i
i
)
from equation (i) and (ii)
⇒
−
4
=
B
−
13
⇒
B
=
9
So
A
−
1
=
18
−
2
⇒
A
=
17
A
−
B
=
17
−
9
=
8
years
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