Question 883725
Let a = larger number
Let b = smaller number
Then we have
(1) a + b = 99 and
(2) a - 2*b = 15 or
(3) a = 15 + 2*b
Put a of (3) into (1) to get
(4) 15 + 2*b + b = 99 or
(5) 3*b = 99 - 15 or
(6) 3*b = 84 or
(7) b = 28
Then using (1) we get
(8) a + 28 = 99 or
(9) a = 71
Check the answer with (2).
Is (71 - 2*28 = 15)?
Is (71 - 56 = 15)?
Is (15 = 15)? Yes
Answer: The two numbers are 71 and 28.