Question

The sum of two numbers is 1240. The first number is 24 more than 3 times the second number. What are the two numbers?

Answer 1

The numbers are 936 and 304.

Explanation:

• Step 1: Let the numbers be x and y. Form equations out of the given details.

⇒ x + y = 1240

⇒ y = 1240 - x ------ (1)

and x = 24 + 3y ----- (2)

• Step 2: Substitute eq(2) in eq(1)

⇒ y = 1240 - (24 + 3y)

⇒ y = 1240 - 24 - 3y

⇒ 4y = 1216

⇒ y = 304

• Step 3: Find x using value of y

⇒ x = 24 + 3 × 304

⇒ x = 24 + 912

⇒ x = 936