Question
Download Solution PDFचार वर्षांपूर्वी राम आणि राहुल यांच्या वयाचे गुणोत्तर 3 : 4 आहे. त्यांच्या सध्याच्या वयाचे गुणोत्तर 17 : 22 आहे. राम सुनीलपेक्षा 5 वर्षांनी मोठा असल्यास सुनीलचे सध्याचे वय किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमणे:
चार वर्षांपूर्वी राम आणि राहुल यांच्या वयाचे गुणोत्तर = 3 : 4
राम आणि राहुल यांच्या सध्याच्या वयाचे गुणोत्तर = 17 : 22
गणना:
चार वर्षांपूर्वी राम आणि राहुल यांच्या वयाचे गुणोत्तर = 3x : 4x
प्रश्नानुसार
(3x + 4)/(4x + 4) = 17/22
⇒ 22 × (3x + 4) = 17 × (4x + 4)
⇒ 66x + 88 = 68x + 68
⇒ 68x – 66x = 88 – 68
⇒ 2x = 20
⇒ x = 10
रामचे सध्याचे वय = 3 × 10 = 30 + 4 = 34
∴ सुनीलचे सध्याचे वय = 34 – 5 = 29 वर्षे
Shortcut Trick
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प्रश्नाच्या शेवटच्या ओळीत राम सुनीलपेक्षा 5 वर्षांनी मोठा असल्याचे नमूद केलेले आहे
म्हणून जर तुम्ही रामच्या वयाची गणना केली तर तुम्ही सुनीलच्या वयाचीही गणना करू शकता.
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