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Chapter 5: Q. 5.42 (page 607)

The sum of two number is 鈭�6. One number is 10 less than the other. Find the numbers.

Short Answer

Expert verified

The numbers are -8and2.

Step by step solution

01

Step 1. Given Information 

The sum of two number is 鈭�6. One number is 10 less than the other. Find the numbers.

02

Step 2. Let the two numbers are x and y.

The sum of two numbers is 鈭�6.

So x+y=鈭�6鈥�鈥�鈥�鈥�鈥�鈥�Equation1

One number is 10 less than the other.

Sox=y-10鈥�鈥�鈥�鈥�鈥�鈥�Equation2

03

Step 3. Now putting the value of x from the Equation 2 in the Equation 1.

x+y=-6y-10+y=-62y-10=-6Add10onbothside2y-10+10=-6+102y=4Divideby2onbothside22y=42y=2

04

Step 4. Now putting the value of y in the Equation 2.

x=y-10x=2-10x=-8

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