The sum of two numbers is 70. Their difference is two less than the smaller number. What are the numbers?

Answer:Two numbers are x = 46 and y = 24Step-by-step explanation:Let the two numbers be x and y , where x > y.According to given problem,  {sum of two numbers x and y}  x + y = 70   ...................(1)And {difference between x and y is two less than the smaller number i.e. y}x - y = y - 2  ..................(2)From equation (2) we can write ,x - y = y - 2 x = 2y - 2 ...................(3)Plug x =2y - 2 in equation (1).x + y = 70 (2y - 2) + y = 703y - 2 = 703y = 72y = 72/3  = 24 Hence we get y = 24 , then x =70 - 24 = 46