Subject
Quantitative Aptitude
Topic
Age
The ratio of the ages of a man and his wife is 4:3.After 4 years, this ratio will be 9:7.If at the time of their marriage, the ratio of their ages was 5:3, then how many years ago were they married?
The ratio of the ages of a man and his wife is 4:3.After 4 years, this ratio will be 9:7.If at the time of their marriage, the ratio of their ages was 5:3, then how many years ago were they married?
ক)
8 yearsখ)
10 yearsগ)
12 yearsঘ)
15 yearsExplanation
(প্রশ্ন- একলোক এবং তার স্ত্রীর বয়সের অনুপাত ৪ঃ৩।চার বছর পরে,অনুপাতটি হবে ৯ঃ৭।তাদের বিয়ের সময়,তাদের বয়সের অনুপাত ছিল ৫ঃ৩।তাহলে কত বছর আগে তাদের বিয়ে হয়েছিল?) ধরি,লোকটির বর্তমান বয়স=4x অর্থাৎ স্ত্রীর বর্তমান বয়স=3x 4 বছর পরে লোক ও তার স্ত্রীর বয়স যথাক্রমে (4x+4) ও (3x+4) বছর প্রশ্নমতে,(4x+4)/(3x+4)=9/7 বা, 28x+28=27x+36 x=8 অতএব লোকটির বর্তমান বয়স=4x=4×8=32 বছর স্ত্রীর বর্তমান বয়স=3x=3×8=24 বছর এবার ধরি তাদের বিয়ে হয়েছিল y বছর আগে। y বছর আগে তাদের বয়স যথাক্রমে (32-y) ও (24-y) বছর এখন,(32-y)/(24-y)=5/3 বা, 120-5y=96-3a বা, 2y=24 বা, y=12 অতএব তাদের বিয়ে হয়েছে 12 বছর আগে।Related questions
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