nA positive number is 5 times the other number. If 21 is added to both the numbers then one of the new numbers becomes twice the other new number. What are the numbers?_______________________________AnswerLet the first number be 'x'The second number would be '5x'According to the question, we'll add 21 to both numbers.x + 21 and 5x + 21 will be the numbers obtained.As the question says, ⇒ 2 (x + 21) = 5x + 21Let's solve the equation step-by-step.2 (x + 21) = 5x + 21Step 1: Simply the equation.⇒ 2 (x + 21) = 5x + 21⇒ 2x + 42 = 5x + 21Step 3: SUBTRACT 21 from both sides of the equation.⇒ 2x + 42 - 21 = 5x + 21 - 21⇒ 2x + 21 = 5xStep 4: Flip the equation.⇒ 2x + 21 = 5x⇒ 5x = 2x + 21Step 5: Subtract 2x from both sides of the equation.⇒ 5x - 2x = 2x + 21 - 2x⇒ 3x = 21Step 6: Divide 2 from both sides of the equation.⇒ 3x ÷ 3 = 21 ÷ 3⇒ x = 7∴ x = 7 in the formed equation.∴ Smaller number = x = 7∴ Greater number = 5x = 5 × 7 = 35∴ The required numbers are 7 and 35._______________________________