The sum of two numbers is 65. Their difference is 17. What is the larger number?

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Answer 1 · 2018-04-28T12:12:48

# x=24#

If we call one number #x# then the other number would be #x+17#
Then #x+x+17=65#

#=> 2x=48#

#=> x=24#

Answer 2 · 2018-04-28T12:15:42

The larger number is # 41#

Let two numbers be #x and y# , then #x+y=65 (1)# and

#x-y=17 (2)# Adding equations (1) and (2) we get,

#2 x=65+17 or 2 x =82 or x= 41 :. y = 65-41= 24#

The two numbers are #x=41 and y=17#

The larger number is # 41# [Ans]