Question

One fifth of a number is subtracted from one fourth of the number,the result is 8 more than 10.Find the number

Answer 1

4

Explanation:

Let the number be x.

According to the question,

`\dashrightarrow \sf { (1)/(4)x - (1)/(5)x= 8 + 10 } \\`

`\dashrightarrow \sf { (5x + 4x)/(2)= 18 } \\`

`\dashrightarrow \sf { (9x)/(2)= 18 } \\`

`\dashrightarrow \sf { 9x = 18 * 2 } \\`

`\dashrightarrow \sf { 9x = 36 } \\`

`\dashrightarrow \sf { x =\cancel{ (36)/(9) }} \\`

`\dashrightarrow \underline{\boxed{\pmb { \frak {x = 4 }}}} \\`

The number is 4.