Question

Separate 178 into two parts so that the first part is 8 less than twice the second part

Answer 1

Let one part be x
The other part would be 2x-8

Given their sum is 178
x+2x-8 = 178
3x-8 = 178
3x = 178+8
3x = 186

x= 62

One part is 62 the other part is 2(62)-8 = 124-8 = 116.

Let us check
62+116 = 178
Which works out well.

Our answer the two parts are 116 and 62.