Question

a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number what are the numbers​

Answer 1

7 and 1

Explanation:

Let the numbers be a and b.

A positive number is 7 times another number:

• a = 7b

If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:

• a+3 = 5/2 × (b +3)

To solve this we substitute a with 7b in the second equation:

• 7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 2
• 14b + 6 = 5b + 15 ⇒ collecting like terms
• 14b - 5b = 15 - 6
• 9b = 9
• b = 1 ⇒ solved for b

Then, finding a:

• a= 7b
• a=7*1
• a= 7 ⇒ solved for a

So the numbers are 7 and 1