algebra age problem?

sharon is 48 and sam is 3 yrs old in how many yrs. sharon will be 4 times as old as sam

Comments

  • Let x be no. of years from now.

    x years from now, sharon = 48 + x years old

    x years from now, sam = 3 + x years old

    4 years from now,

    48 + x = 4 (3 + x)

    48 + x = 12 + 4x

    4x - x = 48 - 12

    3x = 36

    x = 12

  • Where x= number of years

    Sharon's age + number of years = 4(Sam's age + number of years)

    48 + x = 4(3 + x)

    multiply thru

    48 + x = 12 + 4x

    Get the x's on the same side of the equation

    36 = 3x

    Solve for x

    x = 12

    So, in 12 years Sharon will be 4 times as old as Sam. To check, add 48 + 12 = 60, and add 3 + 12 = 15. 60/4 = 15.

  • Let x = no. of years for Sharon to be 4 times as old as Sam.

    48 + x = 4(3 + x)

    48 + x = 12 + 4x

    48 - 12 = 4x - x

    36 = 3x

    x = 36 / 3

    x = 12

    Answer: 12 years must pass for Sharon's age to be 4 times the age of Sam.

    Proof:

    48 + 12 = 4(3 + 12)

    60 = 12 + 48

    60 = 60

  • Ok, so lets call James "J", and Alex "A" for short. Since James is 3 years younger, when we subtract James's age from Alex, the answer has to be 3: A - J = 3 We also know that if we add their ages together 12 years from now, when they are each 12 years older, the answer has to be 53: A+12 + J+12 = 53 Then we can subtract 24 (because 12+12=24) from both sides of the equation: A + J = 29 Now we have two equations, and two variables, which is exactly what we want. Let's go back to the first equation and solve for A: A - J =3 A = 3 + J Since we know what A is equal to (3+J) we can put that into our second equation. So where you see "A" in the second equation, put 3+J: A + J = 29 3+J + J = 29 Now solve for J: 3+J + J = 29 3 + 2J = 29 2J = 26 J = 13 Now we know what J equals, or how old he is. Just like before, we can now put this number into our first equation: A - J = 3 A - 13 = 3 A = 16 So Alex is 16 years old, and James is 13.

  • Let's say x is the number of years. Thus:48+x=4(3+x). So: 48+x=12+4x. Then 36=3x. So: x =12 Checking 48+12=4(3+12) 60=4*15. There's your answer.

  • In 12 years, Sharon will be 60, four times 15 which will be Sam's age.

  • ,let x=years

    48 +x= sharon's age in x years

    3+x=sam's age in x years

    48+x=4(3+x)

    48+x=12+4x

    36=3x

    x=12 years

  • let it be x yrs.

    then

    48+x=4(3+x);

    48+x=12+4x;

    48-12=4x-x;

    36=3x;

    x=12;

    thus after 12 yrs sharon will be 60 & sam 15yrs. 60=4*15;

    hence after 12yrs sharon will be 4 times sam's age

  • Sharon + X number of years = 4* (Sam +X number of years)

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