The ratio of milk and water in a vessel is 19:7. When 'a' ltr milk is added this ratio becomes 3:1. Again 'b' Itr water is subtracted and new ratio is 7:2. Now 7.5 Itr milk is added to mixture and 2.5 Itr water is extracted than ratio of milk and water becomes 45:11, then find the value of a^{3} - b^{3}

(a) 875

(b) 189

(c) 504

(d) 1701

Guest Dec 27, 2021

#1**0 **

m/w ==19/7...................................(1)

[m+a]/w ==3/1..............................(2)

[m+a]/[w - b]==7/2........................(3)

[m+a +7.5] / [w - b -2.5]==45/11...(4), solve for a, b, m, w

Use eliminations and substitutions to get:

**a==10, b==5, m==95, w=35**

**a^3 - b^3 ==10^3 - 5^3==1,000 - 125 =875**

Guest Dec 27, 2021