[tex] \bf \underline{Given : }[/tex]
- One number is 8 more than another.
- Sum of the two numbers is 166.
[tex] \bf \underline{To \: find \: out : }[/tex]
Find the two numbers.
[tex] \bf \underline{Solution : }[/tex]
Let the one number be x.
Then,another number = x + 8
According to the question ,
Sum of the two numbers is 166. [ Given ]
[tex] \sf\implies \: x + x + 8 = 166[/tex]
[tex] \sf \implies \: 2x + 8 = 166[/tex]
[tex] \sf \implies \: 2x = 166 - 8[/tex]
[tex] \sf\implies \: 2x = 158[/tex]
[tex] \sf \implies \: x = \cancel \dfrac{158}{2} [/tex]
[tex] \sf \implies \: x = 79[/tex]
One number = x = 79
Another number = x + 8 = 79 + 8 = 87
