Word problem

Question

But the first answer for this wasn't correct. 

Question :

Two numbers have a difference of 10. 

The sum of the larger one and two-thirds of the smaller number is 16.

What are these two numbers 

 

Answer 1

(i)   x - y = 10

 

(ii)  x + (2/3)y = 16

 

(i) ⇒ x = y + 10

 

Plug this into (ii).

 

(y + 10) + (2/3)y = 16

 

(5/3)y = 6

 

y = 18/5 = 3.6

 

x = y + 10 = 3.6 + 10 = 13.6

 

Test the answers.