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2007-01-23 20:55:46 · 9 answers · asked by PaMeLa UsI 2 in Education & Reference ➔ Homework Help
Let the present age of the daughter be x years
kTherefore,the present of the father is 3x years
4 years ago,the daughtrs age was x-4 and that of the father was 3x-4
Therefore,by the problem,
x-4+3x-4=60
=>4x-8=60
=>4x=60+8=68
=>x=68/4=17
Therefore ,the daughter is 17 years old and her father is 17X3 or 51 years old.
2007-01-24 01:03:55 · answer #1 · answered by alpha 7 · 0⤊ 0⤋
You need to "translate" the words into math.
Let M represents the age of the man.
Let D represents the age of the daughter.
"Man is 3 times as old as his daughter" can be writen as
M = 3D *Keep in mine that they are talking about 4 years
ago.
ALSO, "the sum of their ages WAS 60 years".
So M + D = 60 [Try rewriting this so you can have an idea of
how much older the man is compared to his
daughter. One possible result is M = 60 - D]
So you have
M = 60 - D
M = 3D
Now, two useful equations seems to be
M = 60 - D and M = 3D
Substituting, you get
3D = 60 - D
+D +D adding a D to each side
4D = 60
4D/4= 60/4 "isolate" D by dividing both sides by 4
D = 15 D is daughter's age 4 yrs ago
From the equation above, notice that M = 60 - D,
So M = 60 - 15 = 45 where M is the man's age 4 yrs ago.
Therefore, the man is 45+4 = 49 years old today. The daughter is 15+4 = 19 yrs old today.
2007-01-23 22:34:05 · answer #2 · answered by kim t 3 · 1⤊ 0⤋
permit x and y be the an prolonged time of the two daughters now: 36 = 2 * (x + y) x + y = 18 y = 18 - x The sum of the squares of their an prolonged time 2 years in the past replaced into 2 below thrice the guy's age (34) then: (x-2)² + (y-2)² = 3*34 - 2 (x-2)² + (18-x-2)² = one hundred (x-2)² + (sixteen-x)² = one hundred x² - 4x + 4 + x² - 32x + 256 = one hundred 2x² - 36x + one hundred sixty = 0 2 (x² - 18x + 80) = 0 x² - 18x + 80 = 0 (x - 8) (x - 10) = 0 x = 8 or 10 y = 18 - x y = 10 or 8 So the two women are 8 and 10 now answer: b. 8
2016-12-16 12:17:12 · answer #3 · answered by moncalieri 4 · 0⤊ 0⤋
the daughter's age is 12 and the man is 48 =48+12=60
2007-01-23 21:43:42 · answer #4 · answered by ina m 2 · 1⤊ 0⤋
3 * X - 4 = 60
2007-01-24 02:30:07 · answer #5 · answered by chocolate girl 2 · 1⤊ 0⤋
45 and 15. The daughter is 15 and the father is 45
2007-01-23 22:22:48 · answer #6 · answered by corps4046 2 · 1⤊ 0⤋
At present man aged 49 and his daughter aged 19.
2007-01-23 21:18:58 · answer #7 · answered by GuruG 2 · 1⤊ 1⤋
x=daughter
3x-4=man
4x-4=60
4x-4+4=60+4
4x=64
x=16
daughter is 16
man is 48
2007-01-24 00:37:40 · answer #8 · answered by Dave aka Spider Monkey 7 · 1⤊ 0⤋
man is 42 and daugther is 14.
2007-01-23 21:05:22 · answer #9 · answered by Amir Hiam 1 · 1⤊ 1⤋