Word problem?

Question

Dana is 5 years younger than her brother. Six years from now, the sum of their ages will be 41. Find Dana's present age.

Answer 1

x = Dana's age
x+5 = Dana's brother's age

Since it is six years from now, we must add 6 to both Dana's age and her brother's age.

Thus the equation is the following:

(x+6) + ((x+5)+6) = 41

2x + 17 = 41

2x = 24

x = 12

Dana is 12 years old!

FYI: Her brother is 17 years old!

Answer 2

Dana's age is 12, her brother is 17
let y = Dana's age
let x = her brother's age

We need two equations so solve, here's the first, Dana is 5 years younger than her brother:
y = x - 5

The next is that in 6 years the sum of their ages will be 41:
(y+6) + (x + 6) = 41
y + x + 12 = 41
y + x = 29

Now plug in the value from one of the equations into the other
x = 29 - y

y = (29 - y) - 5
y = 24 - y
2y = 24
y = 12

Plug the newly found value into either equation:
x = 29 - y
x = 29 - 12
x = 17

Answer 3

x = Dana's age
x+5 = brother's age
x+6 + x+11 =41
2x = 24
x = 12 = Dana's age now
x+5 = 17 brother/s age now

Answer 4

12

Answer 5

dana is 12

Answer 6

She is 12, sweetie.