Question 1064206

Using only one variable, The sum of Robin and Bruno's age is 45. Seven years ago, Robin was 16 years more than one-half as old as Bruno was then. How old is Bruno?
<pre>Let Bruno's age be B
Then Robin's is: 45 - B
Also, {{{matrix(1,5, 45 - B - 7 = (1/2)(B - 7) + 16, "=====>", 38 - B = (B - 7)/2 + 16, "====>", - B = (B - 7)/2 - 22)}}}
- 2B = B - 7 - 44 ------ Multiplying by LCD, 2
- 2B - B = - 51
- 3B = - 51
B, or Bruno is: {{{highlight_green(matrix(1,4, (- 51)/(- 3), or, 17, years-old))}}}