in a village there are men women and boys in the ratio 6:5:4 if 40 men 20 women and 120 boys joined the village and the new ratio becomes 4:3:5 find the number of men initially in the village. (the ans must be 120) pls solve it quickly
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Step-by-step explanation:
let the number of men, women and boys be 6x,5x,4x
now, ATQ
new number of men =40
new number of women = 20
new number of boys = 120
so therefore
men = 6 X + 40
women = 5 x + 20
boys = 4 x + 120
in order to find x we have to take any two
so
6x+40/5x+20=4/3
=cross multipliply
=>18x+120=20x+80
=> -2x=-40
x=20
therefore number of men initially =6*20=120
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