Question

A positive number is 7 times another number. If 15 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?
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Answer 1

Step-by-step explanation:

$\huge\underline{\underline{\sf ANSWER}}$

Let the x be smaller number..

So,

Bigger number will be=>

7x

According to question,

$7x + 15 = \frac{5}{2} ( x + 15)$

$14x + 30 = 5x + 75 \\ 9x = 45 \\ x = 5$

Smaller number = 5

and

Bigger number = 7×5 = 35