Question

When 1717" ETA when one seventh of a number is added to 1/8 of a number we get 45 find the number

Answer 1

the number is 168

Explanation:

let the number be n , then

one seventh of n is
`(1)/(7)` n

adding to
`(1)/(8)` n , gives 45

expressing as an equation

`(1)/(8)` n +
`(1)/(7)` n = 45

multiply through by 56 ( the LCM of 8 and 7 ) to clear the fractions

56 ×
`(1)/(8)` n + 56 ×
`(1)/(7)` n = 56 × 45 ( simplify both sides )

7n + 8n = 2520

15n = 2520 ( divide both sides by 15 )

n = 168

That is the number is 168