If the ratio of two numbers is 17:20 then the difference between the two numbers is 80 then what is the number two?
Answers
Answer:
Answer:
-510 and -600
Step-by-step explanation:
\begin{gathered}\text{Given ratio of numbers = 17:20}\\\\\text{Let the 2 numbers be 17x and 20x.}\\\\\text{According to question,}\\\\17x - 20x = 90\\\\\implies -3x = 90\\\\\implies x = - \dfrac{90}{3}\\\\\\\implies x = \boxed{- 30}\\\\\textbf{Verification:}\\\\\text{Put x = -30 in 17x-20x = 90}\\\\17(-30) - 20(-30) = 90\\\\\implies -510 - (-600) = 90\\\\\implies -510 + 600 = 90\\\\\implies 90 = 90\\\\\implies L.H.S. = R.H.S.\\\\\text{Hence, verified the value of x.}\\\\\end{gathered}
Given ratio of numbers = 17:20
Let the 2 numbers be 17x and 20x.
According to question,
17x−20x=90
⟹−3x=90
⟹x=−
3
90
⟹x=
−30
Verification:
Put x = -30 in 17x-20x = 90
17(−30)−20(−30)=90
⟹−510−(−600)=90
⟹−510+600=90
⟹90=90
⟹L.H.S.=R.H.S.
Hence, verified the value of x.
\text{The 2 numbers are 17(-30) = -510 and 20(-30) = -600.}The 2 numbers are 17(-30) = -510 and 20(-30) = -600.
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