Question

The difference between two number is 200 and three times the smaller number is equal to twice the greater no. Find the number

Answer 1

Answer:

600 and 400

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

According to the question,

x - y = 200   ...(i)

3y = 2x

⇒ y = (2/3)x   ...(ii)

Using  (ii) in (i),

x - (2/3)x = 200

LCM = 3

(3x - 2x)/3 = 200

3x - 2x = 200 * 3

x = 600

Using x = 600 in (ii)

y = (2/3) * 600

y = 400

So, the numbers are 600 and 400.