[tex]\bold{\huge{\pink{\underline{ Solution}}}}[/tex]
[tex]\bold{\underline{ Given :- }}[/tex]
- The sum of two numbers is 25
- One number exceeds another by 5
[tex]\bold{\underline{ To \: Find :- }}[/tex]
- We have to find the two numbers.
[tex]\bold{\underline{ Let's \: Begin:- }}[/tex]
Let the number be x
Therefore,
Another number be x + 5
According to the question,
[tex]\sf{ x + ( x + 5 ) = 25}[/tex]
[tex]\sf{ x + x + 5 = 25}[/tex]
[tex]\sf{ 2x + 5 = 25}[/tex]
[tex]\sf{ 2x = 25 - 5}[/tex]
[tex]\sf{ 2x = 20 }[/tex]
[tex]\sf{ x = 20/2}[/tex]
[tex]\sf{ x = 10 }[/tex]
Thus, The first number is 10
Therefore,
Another number will be
[tex]\sf{ = x + 5 }[/tex]
[tex]\sf{ = 10 + 5 }[/tex]
[tex]\sf{ = 15 }[/tex]
[tex]\sf{\red{Hence, \:The \:two \:numbers\: are \:10 \:and\: 15}}[/tex]
