1. A number is as much greater than 21 as it is less than 71. Find the number
Solution -
Let the number be x.
- x - 21 (number is as much greater than 21)
- 71 - x (it is less than 71)
As both the value of x - 21 and 71 - x is same hence,
=> x - 21 = 71 - x
=> x + x = 71 + 21
=> 2x = 92
=> x = 92/2
=> x = 46
Hence, the number is 46.
2. Find 2 consecutive natural number whose sum is 63.
Let the two consecutive numbers be x and x + 1.
=> x + (x + 1) = 63 (A.T.Q)
=> x + x + 1 = 63
=> 2x = 63 - 1
=> 2x = 62
=> x =62/2
=> x = 31
Hence, the consecutive natural numbers whose sum is 63 are 31 and 32.