Question
Download Solution PDFA और B की आयु का अनुपात 8 वर्ष पहले 2: 3 था। 4 वर्ष पहले उनकी आयु का अनुपात 5: 7 था। अब से 8 वर्ष के बाद उनकी आयु का अनुपात क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFA और B की आयु का अनुपात 8 वर्ष पहले = 2x : 3x
प्रश्नानुसार
(2x + 4)/(3x + 4) = 5/7
⇒ 7 (2x + 4) = 5 (3x + 4)
⇒ 14x + 28 = 15x + 20
⇒ 15x – 14x = 28 – 20
⇒ x = 8
8 वर्ष पहले- A की आयु = 2 × 8 = 16
8 वर्ष बाद- A की आयु = 16 + 8 + 8 = 32
8 वर्ष पहले- B की आयु = 3 × 8 = 24
8 वर्ष बाद- B की आयु = 24 + 8 + 8 = 40
8 वर्ष के बाद A से B की आयु का अनुपात = 32 : 40 = 4 : 5
त्वरित विधि:
8 वर्ष पहले A से B की आयु का अनुपात = 2 : 3 या 4 : 6.
1 इकाई= 4 वर्ष
3 इकाई= 12 वर्ष
∴ 8 वर्ष के बाद A से B की आयु का अनुपात = 4 : 5
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