The sum of three numbers is 98. If the ratio | vedclass

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

Question

(A) Let the three numbers be $x, y,$ and $z$.Given the ratios:$x:y = 2:3$$y:z = 5:8$To combine these ratios,we make the value of $y$ common in both ra

Vedclass · Accepted Answer

$30$

Vedclass · Answer

(A) Let the three numbers be $x, y,$ and $z$.Given the ratios:$x:y = 2:3$$y:z = 5:8$To combine these ratios,we make the value of $y$ common in both ratios. The least common multiple of $3$ and $5$ is $15$.Multiplying the first ratio by $5$: $x:y = (2 	imes 5) : (3 	imes 5) = 10:15$.Multiplying the second ratio by $3$: $y:z = (5 	imes 3) : (8 	imes 3) = 15:24$.Thus,the combined ratio is $x:y:z = 10:15:24$.The sum of the parts is $10 + 15 + 24 = 49$.Given the sum of the numbers is $98$,the value of one part is $98 / 49 = 2$.The second number $(y)$ corresponds to $15$ parts.Therefore,the second number is $15 	imes 2 = 30$.

The sum of three numbers is $98$. If the ratio between the first and second is $2:3$ and that between the second and the third is $5:8$,then the second number is

Similar Questions

The average monthly expenditure of a family for the first four months is $Rs.\, 2570$,for the next three months $Rs.\, 2490$ and for the last five months $Rs.\, 3030$. If the family saves $Rs.\, 5320$ during the whole year,the average monthly income of the family during the year is (in $Rs.$)

The average marks of a student obtained in Physics,Chemistry,and Biology is $70.$ If the student obtained $90$ marks in Mathematics,then the new average is

The mean of $50$ observations was $36$. It was found later that an observation $48$ was wrongly taken as $23$. The corrected new mean is

The average age of $6$ members of a family is $20$ years. If the age of a servant is included,the average age increases by $25\%$. What is the age (in years) of the servant?

The average of the first $25$ numbers is $10$ and the average of the next $25$ numbers is $12$. The average of all $50$ numbers is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module