Question 513455


Let Bill’s age be B, and John’s J. Then we can say that: 
B = ½J + 3 -------- eq (i)
J – B < 4 --------- eq (ii)


Substitute (½J + 3) for B in eq (ii) to get: 


J – (½J + 3) < 4
J - ½J – 3 < 4
J - ½J < 4 + 3 
½J < 7


{{{(J/2) < 7}}}


J, or John's age is < 14 ------- Cross-multiplying    


Thus, the oldest John can be in whole-number of years is: {{{highlight_green(13)}}}


-------
Check
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Bill = ½J + 3 ------ Bill = ½(13) + 3 = 6.5 + 3 = 9.5


John – Bill < 4 ----- 13 – 9.5 < 4 (TRUE)


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