Question

three number are in the ratio 3:7:10. If we subtract five from the second number the number will be in arithmetic progression.Find the number​

Answer 1

Let us assume these numbers as 3x, 7x and 10x

According to Question:

The numbers after subtracting 5 from second number will be 3x, 7x - 5, 10x

As the numbers would be in Arithmetic Progression, it can be written as:

     $2(7x - 5) = 3x + 10x\\14x - 10 = 13x \\x = 10$

Hence, the original 3 numbers would be

3x = 3 x 10 = 3-

7x = 7 x 10 = 70

10x = 10 x 10 = 100