Maths / Ratio and Proportion / Statement Sums involving Ratios

QUESTION
 

If large x:y=2:3,  then find the value of  large 3x+2y:9y+5y

OPTIONS
A. 

4 : 11

B. 

5 : 14

C. 

11 : 4

D. 

15 : 7

Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

Write the ratio  x:y=2:3  as fraction

frac {x}{y}=frac {2}{3} Rightarrow 3x=2y

Now   3x+2y:9y+5y

=frac {3x +2y}{9x+5y}=frac {2y+2y}{3(3x)+5y}

=frac {4y}{3(2y)+5y}=frac {4y}{11y}=frac {4}{11}=4:11

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