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Question

# The sum of two number is 625. If two times the first number is equal to three times the second number, then find the obsolute difference of the two numbers. दो संख्याओं का योग 625 है। यदि पहली संख्या का दोगुना, दूसरी संख्या के तीन गुने के बराबर है, तो दोनों संख्याओं के बीच का अंतर ज्ञात करें।

A
75
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B
50
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C
125
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D
25
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Solution

## The correct option is C 125Let the first number be x and the second number be y. ∴x+y=625 ….(i) And 2x=3y ⇒x=32y ….(ii) Substituting (ii) in (i), we get,32y+y=6255y2=625∴x=375⇒y=23x=23×375=250x=375,y=250The required difference =125. माना कि पहली संख्या x और दूसरी संख्या y है। ∴ x + y = 625 ...... (i) और 2x = 3y ............. (ii) समीकरण (i) और (ii) से, x = 375, y = 250 अत: अपेक्षित अंतर = 125

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