The difference between two numbers is 7. Six times the smaller plus the larger is 77. Find the numbers. Let the smallest number = x and the largest number = y According to the condition, y - x = 7 …(i) and 6x + y = 77 ….(ii) From eq. (i) y = 7 + x …(iii) Substitute the eq. (iii) in eq. (ii) 6x + 7 + x = 77 ⇒ 7x = 77 - 7 ⇒ x = `70/7 = 10` Now, substitute the value of x in eq. (iii) y = 7+ 10= 17 ∴ The smallest number 10 and the largest number is 17. Concept: Simple Linear Equations in One Variable Is there an error in this question or solution? |