The sum of the digits of a certain two digit number is 14. When you reverse its digits you decrease the number by 18. What is the number?
systems of elimination word problems
systems of elimination word problems
1 Answer
Feb 21, 2018
Let the number be
#10x+y#
where#y# is digit in Units place and#x# is the digit in Tens place.
Given
#x+y=14# .......(1)- Number with digits reversed is
#18# more than original number
#:.10y+x=10x+y+18#
#=>9x-9y=-18#
#=>x-y=-2# ......(2)
Adding (1) and (2) we get
#2x=12#
#x=12/2=6#
Using (1)
#y=14-6=8#
Number is
#10xx 6+8=68#