> #mathematics , #parenting > 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.
Anonymous
2 hours ago

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
2 hours 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
2 hours 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.
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