Question

The sum of two numbers is
51
. The larger number is
23
more than the smaller number. What are the numbers?

Answer 1

consider unknown numbers are 'x' and 'y'. and write two equations out of given information

Answer 2

(23+x)+(23-y)=51?

Answer 3

no.. let's take first statement
'The sum of two numbers is 51'

this means
x + y = 51

Answer 4

second one is 'The larger number is 23 more than the smaller number'
that means
x is 23 more larger than y.
x = y +23

Answer 5

ok, so how do merge the 2 equations?

Answer 6

@splatter6

Let x be the larger number
The smaller will be 50 - x

The larger number is 23 more than the smaller number

x = 50 - x + 23
x = 73 - x

Solve for x.
Subtract the value of x from 50 to get the second number.

Expect fractions.