The two numbers are 24 and 30.
Step-by-step explanation:
Let,
Smaller number = x
Larger number = y
According to given statement;
x+y = 54 Eqn 1
y= x+6 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
[tex]x+(x+6)=54\\x+x+6=54\\2x=54-6\\2x=48\\Dividing\ both\ sides\ by\ 2\\\frac{2x}{2}=\frac{48}{2}\\x=24[/tex]
Putting x=24 in Eqn 2;
[tex]y=24+6\\y=30[/tex]
The two numbers are 24 and 30.
Keywords: Integers, linear equations
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