Chapter 4: Q 75 (page 404)

The sum of two number is
$- 26$ . One number is $12$ less than
the other. Find the numbers.

Short Answer

Expert verified

The numbers are $- 7$ and $- 19$

Step by step solution

Step 1. Given information

Sum $= - 26$ and one number is $12$ less than other.

Step 2. Calculation

Let the numbers are $x & y$

Then $x + y = - 26$ and role="math" localid="1644381520247" $y = 12 - x$

Now, find the value of y and put in the first equation and simplify them.

role="math" localid="1644381539282" $y = 12 - x x - y = - 26 x - (12 - x) = - 26 x + x - 12 = - 26 2 x = - 26 + 12 2 x = - 14 x = - 7$

Now, put value of $x$ in any equation and solve for the value of $y$

$x + y = - 26 - 7 + y = - 26 y = - 26 + 7 y = - 19$

Therefore the numbers are $- 7 & - 19$

Step 3. Verification

Put values in the equation to verify,

$x + y = - 26 - 7 + (- 19) = - 26 - 7 - 19 = - 26 - 26 = - 26$

LHS is equal to RHS.

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The sum of two number is
$- 26$ . One number is $12$ less than
the other. Find the numbers.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Verification

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The sum of two number is-26. One number is 12less thanthe other. Find the numbers.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Verification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Geometry

Statistics

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

The sum of two number is
$- 26$ . One number is $12$ less than
the other. Find the numbers.