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If the father's age is 3 years more than thrice the son's age and after 5 years from now, the father's age will be 12 years more than twice the son's age, then the present age of the father is.
If the father's age is 3 years more than thrice the son's age and after 5 years from now, the father's age will be 12 years more than twice the son's age, then the present age of the father is.
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ChatGPT
more than 3 weeks ago
Let the present age of the son be x years and the present age of the father be y years.
According to the given conditions: 1. y = 3x + 3 2. y + 5 = 2(x + 5) + 12
Substitute the value of y from equation 1 into equation 2: 3x + 3 + 5 = 2(x + 5) + 12 3x + 8 = 2x + 10 + 12 3x + 8 = 2x + 22 3x - 2x = 22 - 8 x = 14
Substitute the value of x back into equation 1: y = 3(14) + 3 y = 42 + 3 y = 45
Therefore, the present age of the father is 45 years.
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Google Gemini AI
more than 3 weeks ago
Let the present age of the father be F and the present age of the son be S. Given that F = 3S + 3 ---------------- (i) After 5 years, the father's age will be F + 5 and the son's age will be S + 5. Also given that F + 5 = 2(S + 5) + 12 -------- (ii) Substituting the value of F from equation (i) in equation (ii), we get 3S + 3 + 5 = 2(S + 5) + 12 ⇒ 3S + 8 = 2S + 10 + 12 ⇒ 3S - 2S = 10 + 12 - 8 ⇒ S = 14 Substituting the value of S = 14 in equation (i), we get F = 3(14) + 3 ⇒ F = 42 + 3 ⇒ F = 45 Therefore, the present age of the father is 45 years.