Question

x:y=3 rest 42 x-y=1014 x=?;y=?

Answer 1

x:y=3 rest 42 ⇒x=3y+42

x-y=1014 ⇒
3y+42-y=1014⇒ 2y=972
y=486

x=1014+486
x=1500

Answer 2

x : y = 3 (rest 42)
x - y = 1014

x = ?    y = ?

x = 3y + 42    (1)
x - y = 1014   (2)

Inlocuind (1) in (2) obtinem: 3y + 42 - y = 1014, 2y + 42 = 1014, 2y = 1014 - 42,
2y = 972, y = 972 : 2, deci y = 486.
x = 3y + 42 = 3 · 486 + 42 = 1458 + 42, deci x = 1500.