# Pete is 12 years old and his grandfather is 63 years old. In how many years will Pete's age be 1/4 that of his grandfather?

2
by mickaeldanggalan

2016-01-21T18:22:02+08:00

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3.75 years.

Multiply 1/4 and 63
1/4 x 63= 63/4
Convert 63/4 into decimal
63/4= 15.75
Subtract 15.75 to 12
15.75 - 12= 3.75
correct 5 years is the correct answer
The solution is here: Name Present age Future age(x years)
Pete          12                  12 + x
Grandfather  63                  63 + x
Equation:
12+x=1/4(63+x)
48+4x=63+xs
4x-x=63-18
3x=15
3      3
x=5 years

Check:
12+x=1/4(63+5)
17=1/4(68)
17=17
Hi, Mickaeldanggalan. That solution and JoecelE's solution is the same :-)  As I've commented above, 3.75 years is INCORRECT and 5 years is the correct answer.  For similar problem, you check this link here :http://brainly.ph/question/283459.  Have a good day :-)
** you may check this ...
2016-01-21T19:50:52+08:00

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X = answer to the question

Based on the problem, Pete's age must be 1/4 of his grandfather's age. Therefore,

4(12+x) = 63 + x
48 + 4x = 63 + x
4x - x = 63 - 48
3x = 15

x = 5