Question

The sum of two numbers is 115. The difference is -29. What are the number.

Answer 1

Answer:

The sum of the two numbers is 115: x + y = 115. The larger number (x) is 22 more than twice the smaller number (y): x = 22 + 2y.

Step-by-step explanation:

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Answer 2

Question:

The sum of two numbers is 115. The difference is -29. What are the number.

To find:

• two numbers

Given:

• Sum of two numbers = 115
• Difference between two numbers = -29

Let:

• First number = x

• Second number = y

Solution:

We know:

• First number + Second number = 115

• x + y = 115

• y = 115 - x____________(1)

Now:

• First number- Second number = -29

• x - y = -29_____________(2)

Put value of y in Equation 2:

$\dashrightarrow\sf{}x - y = - 29$

$\dashrightarrow\sf{}x - (115 - x)= - 29$

$\dashrightarrow\sf{}x -115 + x= - 29$

$\dashrightarrow\sf{(}x + x) -115= - 29$

$\dashrightarrow\sf{} 2x-115= - 29$

$\dashrightarrow\sf{} 2x= - 29 + 115$

$\dashrightarrow\sf{} 2x=86$

$\dashrightarrow\sf{}x= \dfrac{86}{2}$

$\dashrightarrow\sf{}x = \cancel\dfrac{86}{2}$

$\dashrightarrow \underline{ \boxed{\sf{}x =43}}$

$\therefore \underline{ \sf{}value \: of \: x \: =43 }$

Now Let's find value of y:

put value of x in equation 1:

$\dashrightarrow \sf{}x + y = 115$

$\dashrightarrow \sf{} y = 115 - x$

$\dashrightarrow \sf{} y = 115 - 43$

$\dashrightarrow \underline{ \boxed{\sf{} y = 72}}$

$\therefore \underline{ \sf{}value \: of \: y\: =72 }$