Tutors Answer Your Questions about Age Word Problems (FREE)
Question 1039627: Clara, Liz, and Maria are three sisters whose birthdays all fall on the same day. Clara is 2/3 as old as Liz; Maria is 1/6 as old as Clara; and Clara is in the sixth grade in a private school. If Liz is younger than 21, how old is she?
Click here to see answer by Edwin McCravy(20060)  |
Question 1040544: 1) A father is five times as old as his son. If the difference in their ages is 32 years, find their ages.
2) A goat is six times as heavy as its kid. If their total mass is 70 kg, find their masses in kg.
3) A mother is five times as old as her daughter. If the sum of their ages 6 years ago was 60, find their present ages.
4) A boy is 12 years old. His mother is 4 times as old. In x years time, the mother will be three times as old as the son. Form an equation in x and hence find x.
Click here to see answer by ikleyn(52803)  |
Question 1040548: 1) A mother is five times as old as her daughter. If the sum of their ages 6 years ago was 60, find their present ages.
2) A boy is 12 years old. His mother is 4 times as old. In x years time, the mother will be three times as old as the son. Form an equation in x and hence find x.
Click here to see answer by addingup(3677)  |
Question 1040575: Hi,
I've been trying to solve a word problem but can't figure out how to do it. I've turned the problem into a polynomial which I solved with the quadratic rule but it doesn't give the correct results.
Here's the original problem:
"I saw you at the races, said Steve. Who was the boyfriend? Boyfriend? That's my dad! Pam laughed. But you like puzzles, so here's one. If you add his age to the square of mine, you get just three quarters of my age multiplied by the difference between his age and mine."
I assumed Pam was 'x' and her dad was 'y'.
From the wording, I came up with this:
x^2 + y = 0.75 * ( x * ( y - x ) )
multiplying both sides by 4 gives:
4x^2 + 4y = 3 * ( x * ( y - x ) )
=>
4x^2 + 4y = 3 * ( xy - x^2 )
=>
4x^2 + 4y = 3xy - 3x^2
=>
7x^2 + 4y = 3xy
=>
7x^2 + 4y - 3xy = 0
At this point I tried to divide by y to give a normal quadratic I could solve:
7z - 3x + 4 = 0 (assuming z was equal to x/y)
My problem is that solving this doesn't give the correct results which I know to be x=20,y=50. If I graph the equation the roots aren't right either and the equation seems to be solvable with multiple values. I'm a bit of a maths novice so I'm not sure where I've gone wrong!
Click here to see answer by ikleyn(52803)  |
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