Question

two numbers are in the ratio of 17 is to 20 if the difference between numbers is 90 find the numbers

Answer 1

Answer:

-510 and -600

Step-by-step explanation:

$\text{Given ratio of numbers = 17:20}\\\\\text{Let the 2 numbers be 17x and 20x.}\\\\\text{According to question,}\\\\17x - 20x = 90\\\\\implies -3x = 90\\\\\implies x = - \dfrac{90}{3}\\\\\\\implies x = \boxed{- 30}\\\\\textbf{Verification:}\\\\\text{Put x = -30 in 17x-20x = 90}\\\\17(-30) - 20(-30) = 90\\\\\implies -510 - (-600) = 90\\\\\implies -510 + 600 = 90\\\\\implies 90 = 90\\\\\implies L.H.S. = R.H.S.\\\\\text{Hence, verified the value of x.}$

$\text{The 2 numbers are 17(-30) = -510 and 20(-30) = -600.}$

Hope it helps.

Answer 2

Answer:

510,600

Step-by-step explanation:

Let the number be a and b such that b > a.

Given ratio is 17 : 20.

⇒ a/b = 17/20

⇒ a = 17b/20.   ---- (i)

∴ Given that Difference between the numbers is 90.

⇒ b - a = 90

⇒ b - (17b/20) = 90

⇒ (20b - 17b) = 90 * 20

⇒ 3b = 1800

⇒ b = 600

Substitute b = 600 in (ii), we get

⇒ 600 - a = 90

⇒ -a = 90 - 600

⇒ -a = -510

⇒ a = 510.

Therefore, the numbers are 510 and 600.

Hope it helps!