Question

Kate is three years less thantwice as old as her brother,Brett. Next year Brett's age will be three-fourths Kate's age. How old is each now?

Answer 1

Let K=Kate and B=Brett.
K-3=2B
K-3+1=2B+1
K-2 = 2B+1
K-3 = 2B
(K-3)/2 = B
or K= 2B+3
We also know that K=(3/4 * B) + 1
K = 2B + 3 is same as (3/4 * B) + 1
Therefore K - 1 = 2B+2 = (3/4 * B)
...

Answer 2

Substitution with (K-3)/2 = B or K= 2B+3

Answer 3

I on't understand

Answer 4

Subbed (3/4 * B) + 1 = K's age, with (3/4*(K-3)/2) + 1 = K
3k-9/8 = K
So, 8k-3k = -9 + 8
3K = -1
Since we know that next year brett age is 3K = -1, then now K=1/3 of Brett age