Question

If I add 5 times a number to 6, I get 80................................

Answer 1

x = 14.8 (OR) x = 74/5.

Explanation:

If you add 5 times a number to 6 you will get 80.

We don't know what number is multiplied with five and that number should added with 6. So,

Let, the unknown number be named as x.

The eqⁿ will be

`{ \red{ \sf{5}}}{ \green{ \sf{x}}} \: + \: { \red{ \sf{6}}} = { \red{ \sf{80}}} → Eqⁿ(1)`

Shift 6 to the right side.

`{ \red{ \sf{5}}}{ \green{ \sf{x}}} = { \red{ \sf{80 - 6}}}`

`{ \red{ \sf{5}}}{ \green{ \sf{x}}} = { \red{ \sf{74}}}`

Divide both the sides by 5. then,

`{ \red{ \sf { \cancel{(5)/(5)}}}} { \green{ \sf{x}}} = {{ \frac{ \cancel{74} {}^{ \green{ \sf{{ 14.8}}}} }{ \cancel5}}}`

`{ \red{ \boxed{ \purple{ \sf{x = 14.8}}}}} \: { \tt{(or)}} \: { \red{ \boxed{ \purple{ \sf{x = (74)/(5)}}}}}`

___________________________________

`{ \red{ \sf{ \underline{verification}}}}`

Let us substitute the value of x in Eqⁿ(1) then,

`{ \red{ \sf{5}}}{ \green{ \sf{(14.8)}}} \: + \: { \red{ \sf{6}}} = { \red{ \sf{80}}}`

`{ \red{ \sf{74}}} \: + \: { \red{ \sf{6}}} = { \red{ \sf{80}}}`

`{ \red{ \sf{80}}} = { \red{ \sf{80}}}`

Hence, our answer is correct