Word Problem, Lvl 5, Q#2

[Mr. Hui]

Julio is 36 years old, and James is 11 years old. In how many years will Julio's age be twice James's age?

[MAS1]

Originally Posted by Mr. Hui

Julio is 36 years old, and James is 11 years old. In how many years will Julio's age be twice James's age?

Let x be the number of years.

36 + x = 2(11 + x)
36 + x = 22 + 2x
36 + x - x = 22 + 2x - x
36 = 22 + x
36 - 22 = 22 - 22 + x
14 = x

So in 14 years Julio will be 50 and James will be 25.

[Mr. Hui]

Thanks, MAS1. I always prefer an elegant algebraic solution.

In the book, this is a 5th grade problem. Can anyone find a way to solve it without algebra?

[ahmed]

36 11 i know its a lot of work but still works
37 12
38 13
39 14
40 15
41 16
42 17
43 18
44 19
45 20
46 21
47 22
48 23
49 24
50 25

[imad 150]

Originally Posted by MAS1

Let x be the number of years.

36 + x = 2(11 + x)
36 + x = 22 + 2x
36 + x - x = 22 + 2x - x
36 = 22 + x
36 - 22 = 22 - 22 + x
14 = x

So in 14 years Julio will be 50 and James will be 25.

that is very hard for 5th grade. but you are smarter than 5th grade.

[imad 150]

36 11
37 12
38 13
39 14
40 15
41 16
42 17
43 18
44 19
45 20
46 21
47 22
48 23
49 24
50 25

[Vampire Queen]

*confused face*

[JosePereira11]

Best answer without using formulas:

We start at 11 - 36

36/2=18 so,

18 - 36+7 = 18 - 43

43/2=22.5 so,

23 - 43+5 = 23 - 48

48/2=24 so,

24 - 49

49/2= 24.5 so,

25 - 50


Done. In 14 years.

[james_smith]

The best answer would be:

given,

James- 11 years
Julio- 36 years

After some years Julio will be twice the age of James.

Julio = 2 * James.
consider year wise.
first,

Left hand side should be always >= to Right Hand Side

So,

consider the age after 10 years
add 10 on both sides:
Julio + 10 = 2 * (James + 10)
36 + 10= 2 * (11 + 10)
46 = 42
46 = 42 ( which is not equal to each other)
by this u can make out another 4 should be added on both side to make it LHS = RHS

36 + 14 = 2 * (11+14)

So after 14 years L.H.S = R.H.S

after 14 years the age of Julio will be twice the age of James.

[ohmio]

Dear Mr.Hui this question is for you. Although this question is a problem it is not a maths problem. The question is , what age is the game Maths Payne suitable for?