Question

4. Two numbers are such that if 11 is added to the first number, a number twice the second number is obtained. If 20 is added to the second number, the number obtained is twice the first number. Find the two numbers.​

Answer 1

Answer:

Let the first number is x and second is y

Given twice of first added with second gives 21

∴2x+y=21 ...(1)

And given twice of second added with first gives 27

∴x+2y=27 ...(2)

Multiply (1) by 2

Then 4x+2y=42 ...(3)

Subtract (3) with (2)

Then 3x=15

Or x=5

Put the value of x=5 in (1)

Then 10+y=21

Or y=21−10

Or y=11

Then first number is 5 and second is 11.