Question

The ratio of successful and un successful in an examination in a school is 6:1 the ratio would have been 9:1 if 6 more examiness had been successful. The total number of examinees is

Answer 1

Answer:

The total number of examinees is 14.

Step-by-step-explanation:

Let the number of successful examinees be x.

And the number of unsuccessful examinees be y.

∴ Total number of examinees = x + y

From the first condition,

$\displaystyle{\sf\:x\::\:y\:=\:6\::\:1}$

$\displaystyle{\implies\sf\:\dfrac{x}{y}\:=\:\dfrac{6}{1}}$

$\displaystyle{\implies\boxed{\sf\:x\:=\:6y}\sf\:\qquad\cdots\:(\:1\:)}$

From the second condition,

$\displaystyle{\sf\:(\:x\:+\:6\:)\::\:y\:=\:9\::\:1}$

$\displaystyle{\implies\sf\:\dfrac{x\:+\:6}{y}\:=\:\dfrac{9}{1}}$

$\displaystyle{\implies\sf\:(\:x\:+\:6\:)\:=\:9y}$

$\displaystyle{\implies\sf\:6y\:+\:6\:=\:9y\:\qquad\cdots[\:From\:(\:1\:)\:]}$

$\displaystyle{\implies\sf\:6\:=\:9y\:-\:6y}$

$\displaystyle{\implies\sf\:3y\:=\:6}$

$\displaystyle{\implies\sf\:y\:=\:\cancel{\dfrac{6}{3}}}$

$\displaystyle{\implies\boxed{\red{\sf\:y\:=\:2}}}$

∴ No. of unsuccessful examinees = 2

Now,

Total number of examinees = x + y

⇒ Total number of examinees = 6y + y

⇒ Total number of examinees = 7y

⇒ Total number of examinees = 7 * 2

⇒ Total number of examinees = 14

∴ The total number of examinees is 14.

Answer 2

Step-by-step explanation:

topic :

• ratio

given :

• The ratio of successful and un successful in an examination in a school is 6:1 the ratio would have been 9:1 if 6 more examiness had been successful. The total number of examinees is

to find :

• The total number of examinees is

let us do :

• Let no. Of successful people be 6x

• So no. Of unsuccessful people are x

• If 6 more people had been successful, then no. Of successful people = 6x+6

• And no. Of unsuccessful people = x-6

• Therefore 6x+6/x-6=9/1

• 6x+6=9(x-6)

• Which gives x= 20

• Therefore no. Of people who took the test = 6x+x=7x=7×20=14

hence, the answer is total number of examinees

• = 14