Question 1175998
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If tutor @josgarithmetic had tried solving the equation they ended up with in their response, they would have seen the answer was nonsense....<br>
That tutor wrongly interpreted the given information "In twelve years, Sharon's age will be seven more than three quarters of Mary's age" to be comparing Sharons age 12 years from now with Mary's CURRENT age.  That is not what the sentence says.<br>
Let x = Sharon's age
Then x/2+3 is Mary's current age<br>
x+12 = Sharon's age 12 years from now
(x/2+3)+12 = x/2+15 = Mary's age 12 years from now<br>
Sharon's age in 12 years will be 7 more than three quarters of Mary's age 12 years from now:<br>
{{{x+12 = (3/4)(x/2+15)+7}}}<br>
Solving that equation will give you a reasonable solution from which the answer to the problem can be obtained.<br>