2 years ago, my age was 3 times square of my daughters age in 3 years time from now my age would be 4 time my daughters age find out present ages
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☆ranshsangwan☆
Let the father’s age be F, now, and that of the Son S, now.
F-2 =3(S-2)^2 =3(S^2 -4S+4) = 3S^2 -12S+12,or
F = 3S^2 -12S+14 …(1)
F+3 =4(S+3) = 4S + 12, or
F = 4S+9 …(2)
Equating Fs from (1) and (2)
3S^2 -12S+14 = 4S+9
3S^2 -12S+14 -4S -9 =0
3S^2 -16S+5 =0
3S^2 -15S - S +5 =0
3S(S-5) -(S-5) = 0
(3S-1)(S-5) = 0
S = 1/3 or 5
F =4x5 + 9 = 29
The Father is 29 and the Son 5 years now
Let the father’s age be F, now, and that of the Son S, now.
F-2 =3(S-2)^2 =3(S^2 -4S+4) = 3S^2 -12S+12,or
F = 3S^2 -12S+14 …(1)
F+3 =4(S+3) = 4S + 12, or
F = 4S+9 …(2)
Equating Fs from (1) and (2)
3S^2 -12S+14 = 4S+9
3S^2 -12S+14 -4S -9 =0
3S^2 -16S+5 =0
3S^2 -15S - S +5 =0
3S(S-5) -(S-5) = 0
(3S-1)(S-5) = 0
S = 1/3 or 5
F =4x5 + 9 = 29
The Father is 29 and the Son 5 years now
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