Ravi was asked to multiply a rational number by 2/3. By mistake he multiplied the rational number by 2/9. His answer was -16/5 more than the correct answer. Find the rational number.
Answers
Answered by
26
Answer:
36/5
Step-by-step explanation:
Rational number- r
r*2/3- correct answer
r*2/9- accidental result
The difference:
r*2/9=r*2/3+(-16/5)
r*(2/3-2/9)=16/5
r*4/9=16/5
r=16/5*9/4
r=36/5
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Answered by
11
Answer:
36/5
Step-by-step explanation:
Given,
Ravi was asked to multiply a rational number by 2/3. By mistake he multiplied the rational number by 2/9. His answer was -16/5 more than the correct answer.
Let x be the rational number.
The equation representing the above problem would be:
2x/9 = 2x/3 -16/5
2x/3 - 2x/9 = 16/5
(2x/3)(1-1/3) = 16/5
(2x/3)(2/3) = 16/5
x = 16(9)/5(4)
x = 36/5
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