Question

The average of two numbers is 55 if 2 is subtracted from the greater number, the ratio 1:2 . the smallest number is......

Answer 1

Answer:

The smallest number is 72

Step-by-step explanation:

Let the two numbers be X and Y

(X+Y)/2 = 55

X + Y = 110 ----------------EQN 1

(X-2)/Y = 1/2

X-2 = Y/2

X = 2 + Y/2 = (4+Y)/2

Therefore EQN 1 becomes

(4+Y)/2 + Y = 110

2 + Y/2 + Y = 110

Y/2 + Y = 108

(Y + 2Y)/2 = 108

3Y = 216

Y = 216/3

Y = 72

Therefore the smallest number is 72