Question

3. When the greater of the two numbers increased
by I divides the sum of the numbers, the
result is. When the difference of these
numbers is divided by the smaller, the result is
Find the numbers.
​

Answer 1

Step-by-step explanation:

Let x be larger and y be smaller numbers respectively.

From 1st condition:

x+1/x+y = 2/3

⇒2(x+y)=3(x+1)

x−2y=−3...(1)

From 2nd condition:

y/x−y= 2/1

2(x−y)=y

2x−2y=y

x= 3y/2.. ...(2)

Substitute (2) in (1), we get:

3y−4y=−6

y=6 & x=9

Hence, smaller number is 6 and larger number is 9