Question #95196

2 Answers
Jan 3, 2018

Larger number is 37 and smaller number is 26

Explanation:

Suppose the smaller number is x
and, the larger number is x+11

Now, its given that: x+11 + 5x = 167.....(1)

Solving for x, Equation (1) can be written as:

6x+11 = 167

or, 6x = 167-11 = 156

or, x = cancel156^26/cancel6^1 = 26

Therfore, the larger number will be x+11 = 26+11 = 37

Jan 3, 2018

37" and "26

Explanation:

"let the smaller number "=x

"then the larger number "=x+11

rArrx+11+5x=167larrcolor(blue)"solve for x"

rArr6x+11=167

"subtract 11 from both sides"

6xcancel(+11)cancel(-11)=167-11

rArr6x=156

"divide both sides by 6"

(cancel(6) x)/cancel(6)=156/6

rArrx=26

"smaller number "=x=26

"larger number "=x+11=26+11=37

color(blue)"As a check"

37+(5xx26)=37+130=167larr"True"