## If the ratio of two numbers is 17:20 then the difference between the two numbers is 80 then what is the number two?​

Question

If the ratio of two numbers is 17:20 then the difference between the two numbers is 80 then what is the number two?​

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1 month 2021-08-17T17:53:02+00:00 1 Answer 0 views 0

-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.

Hope it helps.