KnowledgeBoat Logo
|

Mathematics

What quantity must be subtracted from each term of ratio 9 : 17 to make it equal to 1 : 3 ?

Ratio Proportion

29 Likes

Answer

Let number to be subtracted be x,

∴9−x17−x=13⇒3(9−x)=1(17−x)⇒27−3x=17−x⇒3x−x=27−17⇒2x=10⇒x=5.\therefore \dfrac{9 - x}{17 - x} = \dfrac{1}{3} \\[1em] \Rightarrow 3(9 - x) = 1(17 - x) \\[1em] \Rightarrow 27 - 3x = 17 - x \\[1em] \Rightarrow 3x - x = 27 - 17 \\[1em] \Rightarrow 2x = 10 \\[1em] \Rightarrow x = 5.

Hence, quantity to be subtracted = 5.

Answered By

14 Likes

Related Questions