Answer:
4
Step-by-step explanation:
Let the number be x.
According to the question,
[tex]\dashrightarrow \sf { \dfrac{1}{4}x - \dfrac{1}{5}x= 8 + 10 } \\[/tex]
[tex]\dashrightarrow \sf { \dfrac{5x + 4x}{2}= 18 } \\[/tex]
[tex]\dashrightarrow \sf { \dfrac{9x}{2}= 18 } \\[/tex]
[tex]\dashrightarrow \sf { 9x = 18 \times 2 } \\[/tex]
[tex]\dashrightarrow \sf { 9x = 36 } \\[/tex]
[tex]\dashrightarrow \sf { x =\cancel{ \dfrac{36}{9} }} \\[/tex]
[tex]\dashrightarrow \underline{\boxed{\pmb { \frak {x = 4 }}}} \\[/tex]
The number is 4.
