Question
Download Solution PDFजर x : y = 6 : 5 आणि z : y = 9 : 25 असेल, तर x : z चे गुणोत्तर किती असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
x : y = 6 : 5
आणि z : y = 9 : 25
गणना:
x/y = 6/5 ---- (i)
आणि z/y = 9/25
⇒ y/z = 25/9 ---- (ii)
समीकरण (i) आणि (ii) गुणाकार करून आपल्याला मिळते,
(x/y) x (y/z) = (6/5) x (25/9)
⇒ x/z = 10/3
∴ x : z = 10 : 3
Alternate Method
x : y = 6 : 5 ----- (i)
आणि z : y = 9 : 25 ---- (ii)
y दोन्ही गुणोत्तरांमध्ये असल्याने, दोन्ही गुणोत्तरांमध्ये y चे समान मूल्य करण्यासाठी (i) x 5 चा गुणाकार करू
x : y = (6 : 5) × 5 = 30 : 25 ---- (iii)
(ii) आणि (iii) पासून, दोन्ही गुणोत्तरांमध्ये y समान असल्याने
x : z = 30 : 9 = 10 : 3
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