Problema Solution

The sum of two numbers is twenty. Three times the smaller is equal to two times the larger number.

Find the smaller number

Answer provided by our tutors

X+Y=20

3X=2Y

X=2Y/3

2Y/3+Y=20

(2Y+3Y)3=20

2Y=3Y=60

5Y=60

Y=60/5

Y=12

X+12=20

X=20-12

X=8

PROOF

3*8=2*12

24=24



8+12=20

20=20

X+Y=14

3X=4Y

X=4Y/3

4Y/3+Y=14

(4Y+3Y)/3=14

7Y=42

Y=42/7

Y=6

X+6=14

X=14-6

X=8

PROOF

4*6=3*8

24=24