Consecutive numbers: The two consecutive natural numbers whose

The two consecutive natural numbers whose sum is equal to 13² are 84 and 85. Given, The number = 13². To find, Express this as the sum of two consecutive natural numbers . Solution, We can see that here, the given number is 13². Now, to represent the given number as the sum of two consecutive natural numbers , first, let's assume the two consecutive natural numbers be The sum of these numbers will be = n + (n + 1) Also, as we know that the square of 13 is, 13² = 169. According to the given ... The smaller number = 12 Given : The sum of two consecutive numbers is 25 To find : The smaller number Solution : Step 1 of 2 : Form the equation with given data Let smaller number = x Then next number = x + 1 So two consecutive numbers are x and x + 1 By the given condition x + x + 1 = 25 Step 2 of 2 : Find smaller number x + x + 1 = 25 ⇒ 2x + 1 = 25 ⇒ 2x = 24 ⇒ x = 24/2 ⇒ x = 12 Thus two consecutive numbers are 12 and 13 The smaller number = 12 ... Find an answer to your question The sum of two consecutive numbers is 87. which is the larger number? Given, The sum of the reciprocals of 2 consecutive numbers is 15/56. To find, Find the two consecutive numbers . Solution, Let the two consecutive numbers be x and x+1. Then the reciprocal of two consecutive numbers x and x+1 would be 1/x and 1/ (x+1) respectively. According to the problem given, 1/x + 1/ (x+1) = 15/56. Now, we have to solve for the value of x. ⇒ ⇒ ⇒ (2x+1)56 = 15 (x²+x) ⇒ 112x+56=15x²+15x ⇒ 15x²+15x-112x-56=0 ⇒ 15x²-97x-56=0. Solving the equation we would get ...