Question 589050
let k = K's present age
let b = B's present age
;
Write an equation for each statement:
:
"Kate is three years less than twice as old as her brother Brett."
k = 2b-3
:
" Next year, Brett's age will be three fourths Kate's age."
b + 1 = .75(k+1)
b + 1 = .75k + .75
b = .75k + .75 - 1
b = .75k -.25
Replace k with (2b-3)
b = .75(2b-3) - .25
b = 1.5b - 2.25 - .25
b = 1.5b - 2.5
2.5 = 1.5b - b
2.5 = .5b
multiply both sides by 2
b = 5 yrs is B's age
then
k = 2(5) - 3
k = 7 yrs is K's age
:
:
:
Check solutions in the statement:
" Next year, Brett's age will be three fourths Kate's age."
5 + 1 = .75(7+1)
6 = .75(8)