Two positive numbers differ by 11. When the larger number is divided by the smaller, the quotient is 2 and the remainder is 4. w

Question

Rashid [163]

3 years ago

14

Two positive numbers differ by 11. When the larger number is divided by the smaller, the quotient is 2 and the remainder is 4. w

hat are the numbers

Mathematics

1 answer:

balandron [24] · Answer 1 · 2022-06-13T03:45:02+03:00

X = larger number
y = smaller number 

Equations: 

x - y = 11 
x/y = 2 + 4/y 

Get rid of fractions in second equation by multiplying by y. 

y(x/y = 2 + 4/y) 
x = 2y + 4 > plug this into the first equation. 

Solve for y and then x.