Question

The difference between two numbers is 2. Fou
times the smaller number is equal to three times the
greater number. Find the numbers.​

Answer 1

Answer:

x = 10, y = 6

Step-by-step explanation:

Let Smaller number be y, and Larger number be x.

x - y = 4 - - - (Given)

4y = 3x - - - (Given)

Thus, x = (4/3)y

(4/3)y - y = 2  - - - - - - (Substituting in first equation)

y(4/3 - 1) = 2  - - - - - - (Taking y common)

(1/3)y = 2

y = 6 - - - - - - - - (Multiplying by 3 on both sides)

x = 10 - - - - - - - (Substituting y in first equation)