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in an exam a student was asked to find 3/14 of a number instead he found 3/4 of a number his answer was greater than 150 more than the correct answer what is the number |
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Answer» 280Step-by-step explanation:Let A be the certain number and B, the CORRECT answer so,3/14 x A = B3/4 x A = B+150. We can SUBSTITUTE the value of B in the second equation with the value of B in the first equation.3/4 x A = (3/14 x A) +150Collect the like terms.3A/4 - 3A/14 =150HCF of 4 and 14 is 28(21A - 6A)/28 = 15015A/28 =15015A= 150x28A = (150x28)/15A = 280Therefore B = 3/14 x 280 = 60.So the number is 280 because 3/4x 280 is 210 and that is 150 more than 60. |
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