Question

Divide 27 into two parts so that 5 times the first and 11 times the second together equal to 195. Then ratio of the first and second part is:

Answer 1

Let the 2 parts be x and y

Given x+y=27

x=27-y_____(1)

5x+11y=195__(2)

Put value of x in 2nd equation

5(27-y)+11y=195

6y=195-135

y=10. put y value in equation (1)

so x=17

Ratio of x and y is 17/10