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Ten years ago, a father was three times as old as his son. Ten years from now, he will be twice as old as his son. What is the son's present age?
Mathematics
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4 stepsवर्तमान आयु को चर (variables) के रूप में परिभाषित करें।
मान लीजिए,
पिता की वर्तमान आयु वर्ष
पुत्र की वर्तमान आयु वर्षपहली शर्त के आधार पर समीकरण बनाएँ।
"दस साल पहले, एक पिता अपने बेटे से तीन गुना बड़ा था।"
दस साल पहले पिता की आयु
दस साल पहले पुत्र की आयु
इसलिए, पहला समीकरण है:दूसरी शर्त के आधार पर समीकरण बनाएँ।
"अब से दस साल बाद, वह अपने बेटे से दोगुना बड़ा होगा।"
दस साल बाद पिता की आयु
दस साल बाद पुत्र की आयु
इसलिए, दूसरा समीकरण है:समीकरणों को हल करें।
समीकरण (1) और (2) से, हम के लिए दोनों अभिव्यक्तियों को बराबर कर सकते हैं:
अब के लिए हल करें:
पुत्र की वर्तमान आयु 30 वर्ष है।
The final answer is
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