Subject
Quantitative Aptitude
Topic
Age
The combined age of a father and son is 83 years. Ten years ago, their age ratio was 7:2. What is the son's current age?
The combined age of a father and son is 83 years. Ten years ago, their age ratio was 7:2. What is the son's current age?
ক)
21 yearsখ)
24 yearsগ)
28 yearsঘ)
26 yearsExplanation
ধরি, বাবার বর্তমান বয়স = x বছর ছেলের বর্তমান বয়স = y বছর সুতরাং, x + y = 83 ... (1) ১০ বছর আগে, বাবার বয়স ছিল = (x - 10) বছর ছেলের বয়স ছিল = (y - 10) বছর তাদের বয়সের অনুপাত ছিল ৭:২ তাহলে, (x - 10) : (y - 10) = 7 : 2 বা, (x - 10)/(y - 10) = 7/2 বা, 2(x - 10) = 7(y - 10) বা, 2x - 20 = 7y - 70 বা, 2x - 7y = -50 ... (2) সমীকরণ (1) থেকে, x = 83 - y এটি সমীকরণ (2) এ বসিয়ে, 2(83 - y) - 7y = -50 বা, 166 - 2y - 7y = -50 বা, 166 - 9y = -50 বা, -9y = -216 বা, y = 24Related questions
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