If x runs are scored by A,y runs by B,and z r | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Given the ratios $x: y = 3: 2$ and $y: z = 3: 2$.To combine these,we make the value of $y$ common in both ratios.Multiply the first ratio by $3$ a

Vedclass · Accepted Answer

$162, 108, 72$

Vedclass · Answer

(B) Given the ratios $x: y = 3: 2$ and $y: z = 3: 2$.To combine these,we make the value of $y$ common in both ratios.Multiply the first ratio by $3$ and the second ratio by $2$:$x: y = (3 	imes 3): (2 	imes 3) = 9: 6$$y: z = (3 	imes 2): (2 	imes 2) = 6: 4$Therefore,the combined ratio is $x: y: z = 9: 6: 4$.Let the runs scored be $9a, 6a,$ and $4a$.The total runs scored is $342$,so:$9a + 6a + 4a = 342$$19a = 342$$a = 342 / 19 = 18$Now,calculate the runs for each:$A = 9 	imes 18 = 162$$B = 6 	imes 18 = 108$$C = 4 	imes 18 = 72$Thus,the runs scored by $A, B,$ and $C$ are $162, 108,$ and $72$ respectively.

If $x$ runs are scored by $A$,$y$ runs by $B$,and $z$ runs by $C$,then $x: y = y: z = 3: 2$. If the total number of runs scored by $A$,$B$,and $C$ is $342$,the runs scored by each would be respectively:

Similar Questions

The ratio between the present ages of $A$ and $B$ is $5:3$ respectively. The ratio between $A$'s age $4$ years ago and $B$'s age $4$ years hence is $1:1$. What is the ratio between $A$'s age $4$ years hence and $B$'s age $4$ years ago?

$A$ sum of $Rs. 340.68$ is distributed among $L$,$M$,and $N$ such that $L$ gets $Rs. 5.72$ more than $N$ and $M$ gets $Rs. 2.24$ more than $L$. Find the amount $N$ gets (in $Rs.$).

The sum of two numbers is three times their difference. What is the ratio of the two numbers?

₹ $11,550$ has to be divided between $X$,$Y$,and $Z$ such that $X$ gets $\frac{4}{5}$ of what $Y$ gets and $Y$ gets $\frac{2}{3}$ of what $Z$ gets. How much more does $Z$ get over $X$ (in ₹)?

$A$ bag contains $10$-paise and $25$-paise coins in the ratio of $17:6$. If the total money in the bag is $Rs. 112$,the number of $10$-paise coins is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module