Question

of two numbers 1/5of the greater is equal to1/3 of the smaller and their sum is 16.the numbers are?

Answer 1

Step-by-step explanation:

let , the smaller number = x

the greater number = y

hence

$x + y = 16................(1)$

$\frac{y}{5} = \frac{x}{3}$

$5x - 3y = 0..........(2)$

$(1) \times 5 - (2). \: weget$

$5x + 5y = 80$

$5x - 3y = 0$

( - ). ( + )

.....................................

$8y = 80$

$y = 10$

put the value of y in equation ( 1 ) , we get

$x = 16 - 10 = 6$