Question

No. Of men and women are in the ratio of 2:3.no. of people are 565 what are the no. Of men and women

Answer 1

Answer:

Number of men = 226

Number of women = 339

Step-by-step explanation:

Let the number of men be 2X

Let the number of women be 3X

Total population = 565

Total population = 3X+2X = 565

5X = 565

X = 565/5

X= 113

Number of men = 2X = 2×113 = 226

Number of men = 226

Number of women = 3X = 3×113 = 339

Number of women = 339

Check

226 + 339 =565

565 = 565

Hence checked

Answer 2

$\textbf{\underline{\underline{Answer :- }}}$

The total number of men is 226 and women is 339.

$\textbf{\underline{\underline{Explanation :- }}}$

Given :

The Ratio of men to women = 2 : 3

Total people = 565

To find :

The number of men and women

Solution :

Consider the number of men as 2x

Consider the number of women as 3x

$\star$ According to the question :

$\boxed{\sf{2x + 3x = 565}}$

$\tt{\implies}2x + 3x = 565$

$\tt{\implies}5x = 565$

$\tt{\implies} x = \dfrac{565}{5}$

$\tt{\implies}x = 113$

Value of 2x

$\tt{\implies}2 \times x$

$\tt{\implies}2 \times 113$

$\tt{\implies}226$

Value of 3x

$\tt{\implies}3 \times x$

$\tt{\implies}3 \times 113$

$\tt{\implies}339$

$\therefore$ The total number of men is 226 and women is 339.

$\textbf{\underline{\underline{Verification :-}}}$

$\tt{\implies}226 + 339 = 565$

$\tt{\implies}565 = 565$

$\therefore$ The total number of men is 226 and women is 339.