Question

Divide Rs. 3262 among x, y and z such that if Rs. 35, Rs. 15 and Rs. 12 are deducted from their respective shares, the remainders are in the ratio 3:5:8.

Answer 1

x + y + z = 3262 

and x – 35:y – 15: Z – 12 = 3 : 5 : 8

5x – 175 = 3y – 45, 

5x – 3y = 130, 

5x = 130 + 3y, 

x= 26+ \(\frac{3}{5}\)y 

8y – 120 = 52 – 60 

8y – 5z = 60 

5z = 8y – 60 

z = \(\frac{8}{5}\)y – 12 

Substitute for x and z

But y x + y + z = 3262

= 26 + 609 

x = 635 

x = 635, y = 1015 and z = 1612 

z = 1624 – 12 

z = 1612