Find two numbers whose sum is 138 and whose differenc is 88.?

Question

Find two numbers whose sum is 138 and whose differenc is 88.?

Answer 1

x+y =138   eq.1

x-y =   88    eq.2

adding 2 equation

2x = 226

x=113

y=25

Answer 2

Relative values of 1st number (x):

x + y = 138

x = 138 - y

x - y = 88

x = y + 88

Find 2nd number (y):

138 - y = y + 88

2y = 50

y = 25

Find 1st number:

= 138 - 25

= 113

Answer: 113 and 25 are the numbers. Their sum is 138 and their difference is 88.

Answer 3

Letting x,y be the 2 numbers, then

x+y=138 and

x-y=88.

So adding the 2 equations then

2x=226, so x=226/2=113.

And y=138-113=25.

So, the two numbers are 113 and 25.

Answer 4

if I'm not mistaken, this is a simple algebra using two variables to solve for two unknowns.

First, you let "x" be the 1st number and "y" be the second. With this, you can create two equations:

                                   (1) x + y = 138

                                   (2) x - y = 88

with these given, we can substitute an equation for either "x" or "y". I am more comfortable with substituting y with respect to x in the first equation. The equation would be:

                                     (1) x + y = 138

                                               y = 138 - x

Next, substitute this y value in  equation 2. you can now solve for the value of "x"

                                     (2) x - y = 88

                                          x - (138 - x) = 88

                                          x -138 + x = 88

                                          x + x = 88 + 138

                                          2x = 226

                                         1/2 (2x) = (226) 1/2

                                          x = 113

Now that you know the value of x, you can substitute it to the first equation to solve for the value of "y"

                                    (1) x + y = 138

                                         113 + y = 138

                                          y = 138 - 113

                                          y = 25

There you have your two numbers with the sum 138 and a difference of 88, it is 113 and 25. to check, you can substitute both values in both equations. :)

Answer 5

x + y = 138

x - y = 88

so, 2x = 226

or, x = 113

and y = 25

Answer 6

Okay , listen lets assume the two numbers

are x and y.

Then ..

x+y=138.........(1)

x-y=88.........(2)

Finding x :

x+y+(x-y)=138+88

x+y+x-y=226

2x=226

x=226/2

x=113

Finding y :

x+y-(x-y)=138+88

x+y-x+y=138-88

2y=50

y=25

Verification :

113+25=138 ........(x+y=138)

113-25=88 ........(x-y=88)

Hope this helped ,

Cheers , gamernaveen

Answer 7

let the no.s be x and y

x+y=138

x-y=88

x=   226/2=113

y=25

:))

Answer 8

x + y = 138 (solve by using substitution)

x - y = 88

x + y = 138

x = 138 - y

x - y = 88

(138 - y) - y = 88

138 - y - y = 88

-y - y = 88 - 138

-2y = -50

y = -50/-2

y = 25

x + y = 138

x + 25 = 138

x = 138 - 25

x = 113

∴ x = 113 , y = 25

Answer 9

With no loss in generality we consider the larger number a and the smaller number b:

1)a+b=138

2)a-b=88

(1)+(2):2a=226--->a=113

(1)-(2):2b=50------>b=25

Answer 10

number1 + number2 = 138 (equation 1)

number1 - number2 = 88 (equation 2)

rearrange equation 2 and insert into equation 1

number1 - number2 = 88

number1 = 88 + number2

number1 + number2 = 138

88 + number2 + number2 = 138

2 * number2 = 138 - 88

2 * number2 = 50

number2 = 50 / 2

number2 = 25

number1 = 88 + number2

number1 = 88 + 25

number1 = 113

Answer 11

To represent x and y, x is the first number and y is the second number. Let's take the first statement: two numbers whose sum is 138. Translate it into an equation and we get:

x + y = 138

Next translate "...whose difference is 88". We get:

x - y = 88

By using the substitution method, isolate a variable in one of the equations:

x = y + 88

Substitute the value in the other equation:

x + y = 138

y + 88 + y = 138

2y + 88 = 138

2y = 138 - 88

2y = 50

2y/2 = 50/ 2

y = 25

Substitute the value of y:

x = y + 88

x = 25 + 88

x = 113

Check if your values of x and y are correct by substituting the 2 values into both the original equations:

x + y = 138

113 + 25 = 138

138 = 138

x - y = 88

113 - 25 = 88

88 = 88

Therefore: x = 113 and y = 25

hope that helped

Answer 12

Let,

X = the first digit.

Y = the second digit.

Then,        X + Y = 138    .................(1)

and           X - Y  = 88      .................(2)

Solving both equations,

X = 113

Y = 25

So, the two no.s are 113 and 25.