If the sum of a decimal number and 6.2 is multiplied by 3 ,the result is the same as 9 times the decimal number decreased by 2.4 . What is the number?
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If the sum of a decimal number and 6.2 is multiplied by 3 ,the result is the same as 9 times the decimal number decreased by 2.4 . What is the number?
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Answer: 6.7
Step-by-step explanation:
let the missing decimal number be x.
so the equation formed will be 3(x+6.2) = 9(x-2.4)
by solving this equation,
3(x+6.2) = 9(x-2.4)
3x+18.6 = 9x-21.6
9x-3x=21.6+18.6
6x=40.2
x=40.2/6
x=6.7
verification:
3(x+6.2) = 9(x-2.4)
3(6.7+6.2)=9(6.7-2.4)
3(12.9)=9(4.3)
38.7=38.7