The sum of two numbers is 35 One number is 23 more than the other Solve to find each number Help please???

3 Answers
May 18, 2018

#29 and 6#

Explanation:

The sum can be defined as two numbers added together.

I would start by listing all the possible outcomes, although this can be time-consuming if a large number.

#1) 34 and 1#
#2) 33 and 2#
#3) 32 and 3#
#4) 31 and 4#
#5) 30 and 5#
#6) 29 and 6#
#7) 28 and 7#
#8) 27 and 8#
#9) 26 and 9#
#10) 25 and 10#

Now take away the smaller number from the bigger number:

#1)33#
#2)31#
#3)29#
#4)27#
#5)25#
#6)23#

Since #29-6=23# and #29+6=35#, these can be used

May 18, 2018

# 6 and 29#.

Explanation:

The sum of two numbers is #35#.

One number is #23# more than the other number.

So, if we subtract this additional #23# from the sum #35#, we are

left with the sum of two equal numbers.

Dividing this difference in two equal parts, we get

one number and the other one will be #23# more.

Thus, the desired numbers are, #1/2(35-23)=1/2*12=6# &

#6+23=29#.

Enjoy Maths.!

May 18, 2018

The two numbers are #6 and 29#

Explanation:

We can define the two numbers using one variable because we know the relationship between the numbers,

Let the smaller number be #x#

The larger number differs by #23#,. It will be #x+23#

The sum of the numbers is #35#

# x+x+23= 35#

#2x = 35-23#

#2x = 12#

#x =6" "larr# this is the smaller number,

The larger number is #6+23= 29#

Check: #6+29 =35" " and 29-23 =6#