Question

The sum of two numbers is 200. If one number is 23 more than the other,find the numbers.

Answer 1

Answer: numbers are 88.5 and 111.5

Step-by-step explanation:

let one number be x

so other number will be x+23

x+(x+23)=200

2x+23=200

2x=200-23

x=177/2

x=88.5

other no=88.5+23=111.5

Answer 2

$let \: the \: numbers \: are \: x \: and \: y \\ \\ so \: according \: to \: question \: \\ \\ x + y = 200......(1) \\ \\ but \: given \: that \\ \\ x = y + 23......(2) \\ \\ \\ putting \: the \: value \: of \: x \: from \: equation \: (2) \: in \: equation \: (1) \\ \\ y + 23 + y = 200 \\ \\ = > 2y = 200 - 23 \\ \\ = > 2y = 177 \\ \\ = > y = \frac{177}{2} \\ \\ \\ putting \: this \: value \: of \: y \: in \: equation \: (2) \\ \\ x = \frac{177}{2} + 23 \\ \\ = > x = \frac{177 + 46}{2} \\ \\ = > x = \frac{223}{2} \\ \\ \\ \\ hence \: required \: numbers \: are \: \: \frac{177}{2} and \: \frac{223}{2}$
hope it helps.......