Question

The wages of 24 men and 16 women amount to Rs 11600 per day. Half the number of men and 37 women earn the same money. The daily wages paid to each man is; The wages of 24 men and 16 women amount to Rs 11600 per day. Half the number of men and 37 women earn the same money. The daily wages paid to each man is

Answer 1

Let wage of a man be Rs. x

Let wage of a woman be Rs.y

Hence,

24x+16y=11600 (1)

12x+37y=11600 (2)

Multiplying eqn 2 by 2,

24x+74y=23200

Subtracting eqn 2 from 1,

-58y = -11600

y= Rs.200

Therefore, x= Rs.350

Wage of a man is Rs.350 whereas of a woman is Rs.200

HOPE IT HELPS YOU

PLZ MARK AS BRAINLIST

Answer 2

Let the wage of men be x
And of women be y.

According to question:-

24x+16y=11600 -----(1)
12x+37y=11600 -----(2)

Subtracting eq(1) from eq (2)×2
24x+74y=23200
24x+16y =11600
(-)
------------------------
0 +58y=11600
y=11600/58
y=200

Substituting y=200 in eq(1)

24x+16(200)=11600
24x+3200 =11600
24x =11600-3200
x =8400/24
x =350
Daily wage of man is Rs350.
Daily wage of woman is Rs200.