When 40% of the first number is added to the second number, the second number becomes 7/5 times the first number. What is the ratio of the first number to the second number?

Question: When 40% of the first number is added to the second number, the second number becomes 7/5 times the first number. What is the ratio of the first number to the second number? Solution:Let the first number = x and the second number = y. According to the question,y + 40% of x = (7/5)x⇒ y + (40/100) x = (7/5)x⇒ y + (4/10)x = (7/5)x⇒ y = (7/5)x - (4/10)x⇒ y = (14 - 4)x/10⇒ y = 10x/10⇒ y = x Therefore, x : y = x : x = 1 : 1