In a class the number of students is 84- If there where six boys and six girls less- then the ratio of boys and girls is 5- 2- Find the number of boys in the class-60305158

Question

Toppr Admin · Accepted Answer

Let the number of boys-xNumber of girls be -yx-y-84-xA0- -x2026-x2026-x2026-1-x-6y-x2212-6-522x-12-5y-x2212-302x-x2212-5y-x2212-42-xA0- -x2026-x2026-x2026-2-Solving equation -1- and -2-we getx-54y-30-

In a class the number of students is 84, If there where six boys more and six girls less, then the ratio of boys and girls is 5: 2. Find the number of boys in the class.
$60$
$30$
$51$
$58$

Let the number of boys $= x$

Number of girls be $= y$

$x + y = 84$ ……… $(1)$

$\frac{x + 6}{y - 6} = \frac{5}{2}$

$2 x + 12 = 5 y - 30$

$2 x - 5 y = - 42$ ……… $(2)$

Solving equation $(1)$ and $(2)$

we get

$x = 54$

$y = 30$ .

In a class the number of students is 84, If there where six boys more and six girls less, then the ratio of boys and girls is 5: 2. Find the number of boys in the class.60305158

Let the number of boys=xNumber of girls be =yx+y=84 ………(1)x+6y−6=522x+12=5y−302x−5y=−42 ………(2)Solving equation (1) and (2)we getx=54y=30.

In a class the number of students is 84, If there where six boys more and six girls less, then the ratio of boys and girls is 5: 2. Find the number of boys in the class.
$60$
$30$
$51$
$58$

Let the number of boys $= x$

Number of girls be $= y$

$x + y = 84$ ……… $(1)$

$\frac{x + 6}{y - 6} = \frac{5}{2}$

$2 x + 12 = 5 y - 30$

$2 x - 5 y = - 42$ ……… $(2)$

Solving equation $(1)$ and $(2)$

we get

$x = 54$

$y = 30$ .