After adding 77 to a number the sum is multiplied by 5 and the product so obtained is divided by 9. From the quotient so obtained 33 is subtracted to get 12. The number is
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The number is 4.
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Step-by-step explanation:
Let n be the number.
"After adding 77 to a number ..." : Now we have n + 77
"... the sum is multiplied by 5 ..." : Now we have 5 ( n + 77 )
"... and the product so obtained is divided by 9.... " : Now we have 5 ( n + 77 ) / 9
"... From the quotient so obtained 33 is subtracted ..." : Now we have 5 ( n + 77 ) / 9 - 33
"... to get 12." : So we have an equation and we reverse the steps to find the number n.
5 ( n + 77 ) / 9 - 33 = 12
=> 5 ( n + 77 ) / 9 = 12 + 33 = 45
=> 5 ( n + 77 ) = 9 × 45 = 405
=> n + 77 = 405 / 5 = 81
=> n = 81 - 77 = 4
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