Chapter 4: Q 77 (page 404)

The sum of two numbers is $37$ .
Their difference is $9$ . Find the
numbers.

Short Answer

Expert verified

The numbers are $23 & 14$ .

Step by step solution

Step 1. Given

Sum $= 37$ and the difference between the numbers is $9$

Step 2. Calculation

Let the numbers are $x & y$

Therefore, $x + y = 37$

and the difference is $x - y = 9$

Add the two equations,

$x + y = 37 & x - y = 9 x + y + x - y = 37 + 9 2 x = 46 x = 23$

Now put value of $x$ in any equation and find the value of $y$ .

$x + y = 37 23 + y = 37 y = 37 - 23 y = 14$

Therefore the numbers are $14 & 23$

Step 3. Verification

Verify the equation,

$x + y = 37 23 + 14 = 37 37 = 37$

LHS is equal to RHS

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The sum of two numbers is $37$ .
Their difference is $9$ . Find the
numbers.

Short Answer

Step by step solution

Step 1. Given

Step 2. Calculation

Step 3. Verification

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The sum of two numbers is 37.Their difference is 9. Find thenumbers.

Short Answer

Step by step solution

Step 1. Given

Step 2. Calculation

Step 3. Verification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

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Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

The sum of two numbers is $37$ .
Their difference is $9$ . Find the
numbers.