Fourteen less than three fourths of a number is negative eight. Find the number
The word "is" in this kind of problem typically means "=", so we know that something =-8. Since we're finding the number, we should start with the closest thing in the phrase given to that number. In this case, it's 3/4x. Finally, since we have the "14 less than", we need to add that in. Your answer is:
3/4x-14=-8. Now we can just solve!
+14 +14
3/4x=6.
4/3 4/3
x=8.
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Given number is 8
Assume;
Given number is 'n'
Find;
Given number
Computation:
Three fourths of given number;
\(Three\ fourths\ of\ given\ number = \frac{3}{4}[n]\)
Three fourths of given number minus 14 ;
\(Three\ fourths\ of \ given\ number\ minus\ 14 = \frac{3}{4}[n] - 14\)
So,
\(\frac{3}{4}n - 14 = -8\)
\(3n - 56 = -32 \\\\3n = 56 -32 \\\\3n = 24 \\\ = \frac{24}{3} \\\ = 8\)
Given number = 8
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