The sum of two mystery numbers is 40. The bigger number is ten more than twice the smaller number. What are the two mystery numbers?

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Answer 1 · 2018-03-24T15:23:12

#10 and 30#

Let the smaller number be #bba# and the bigger number be #bb(b)#

#b# is 10 more than twice #a#:

#b=2a+10#

The sum of these is 40:

#a+b=40=>a+(2a+10)=40#

Solving for #a#:

#a+(2a+10)=40#

#3a+10=40#

#3a=40-10#

#3a=30#

#a=30/3#

#a=10#

If #a=10# and #b=2a+10#

Then:

#b=2(10)+10=30#

The two numbers are:

#10 and 30#