Question

When three times a number and five times another number is added together it makes 169.
When five times the first number and three times the second number is added together it
makes 159. Then find the numbers?

Answer 1

let the first number be x

and secound no. Y

according to the problem,

3x +5y=169

5x+3y=159

multiply the equation 1 with 5 and equation with 3 then we get

15x+25y=845

15x+9y=477

do substraction

16y=368

y=23

substitute y=23 in eq 3

15(x)+25(23)=845

15x=845-575

x=279/15

x=18

x=18 and y=23 these are the values of x and y