Question

a sum of 2 numbers is 110, 1/5th of the larger number is 8 more than 1/9th of the smaller number. Find the numbers

Answer 1

Answer:

Step-by-step explanation:

let larger no be x and smaller no be y

1/5x=1/9y+8

x+y=110

1/5x+1/5x=110

2(1/5x)=110

1/5x=55x=55*5

=

Answer 2

Answer:

65 & 45

Step-by-step explanation:

let, first no. be x and second be y

Given

x + y =  110

y = 110-x

x/5 - 8 = y/9

x/5 - y/9 = 8

9x/45 - 5y/45 = 8

9x - 5y/45 = 8

9x - 5y = 8 * 45 = 360

9x - 5(110 -x) = 360

9x + 5x = 360 + 550

14x = 910

x = 910/14 = 65

first no. = 65, second no = 110 - 65 =45

hope it helps you