Question 851017
Let


L = Leslie's score
S = Sally's score



It tells us that "Sally scored 14 points more than Leslie" so we know 



{{{Sally = (Leslie) + 14}}}



{{{S = L + 14}}} Let's call this equation 1



We're also given "the sum of their scores was 160", which means the two scores add to 160.


{{{(Sally) + (Leslie) = 160}}}



{{{S + L = 160}}} Let's call this equation 2


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{{{S + L = 160}}} Start with the second equation



{{{L+14 + L = 160}}} Replace S with {{{L+14}}} (the first equation is {{{S = L + 14}}})



Now we solve for L



{{{L+14 + L = 160}}}



{{{2L+14 = 160}}}



{{{2L = 160-14}}}



{{{2L = 146}}}



{{{L = 146/2}}}



{{{L = 73}}}



Now that we know L, we can use this to find S



{{{S = L + 14}}}



{{{S = 73 + 14}}} Replace L with 73 (above we found that {{{L=73}}})



{{{S = 87}}}



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Summary:


{{{L = 73}}} and {{{S = 87}}}



So 

<font color="red">Leslie's score was <b>73</b></font> and 
<font color="red">Sally's score was <b>87</b></font>



Quick Check: Notice how 87 is 14 more than 73 (87 - 73 = 14) so we have a 14 point difference. Also, the two scores add to 160: 73+87 = 160. So both conditions check out.