The present age of Aradhana and Aadrika is in the ratio 3:4. 5 years back, the ratio of their ages was 2:3. What is the present age of Aradhana. *
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Answer:
Age of Aradhana= 15 years
Age of Aadrika. =20 years
Step-by-step explanation:
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Given :-
- The present age of Aradhana and Aadrika is in the ratio 3:4. 5 years back, the ratio of their ages was 2:3.
To Find :-
- What is the present age of Aradhana.
Solution :-
⟼ Let the present age of Aradhana be 3x
⟼ Let the present age of Aadrika be 4x
Before 5 years :
⟼ Aradhana’s age = (3x - 5)
⟼ Aadrika’s age = (4x - 5)
According to the Question :
⟾⠀⠀ (3x - 5) ÷ (4x - 5) = 2/3
⟾ ⠀⠀3(3x - 5) = 2(4x - 5)
⟾ ⠀⠀9x - 15 = 8x - 10
⟾⠀⠀ 9x - 8x = - 10 + 15
⟾⠀⠀⠀⠀⠀⠀x = 5
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Thus, Present age of Aradhana = 3x = 3 × 5 = 15years
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