The age of the father of two children is twice that of the elder one added to four times that of the youngest one. If the arithmetic mean and product of the ages of the two children is 8 years and 48 years respectively, then what is the age of the father?
Explanation: ধরি, ছোটজনের বয়স = X বছর Product 48 হলে বড়জনের বয়স = \(\frac{48}{x}\) বছর প্রশ্নমতে , \(\frac{x+\frac{48}{x}}{2}=8 \Rightarrow x+\frac{48}{x}=16 \Rightarrow \frac{x^{2}+48}{x}=16 \Rightarrow x^{2}-16x+48=0 \Rightarrow x^{2}-12x-4x+48=0\) বড়জনের বয়স 12 ধরে নেই যুক্তিসংগত এখন, প্রশ্নমতে , বাবার বয়স = \((12 \times 2) + (4 \times 4) = 40\) বছর]
