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Chapter 3: Q. 38 (page 316)

One number is six more than five times another. Their sum is six. Find the numbers.

Short Answer

Expert verified

The numbers are 0and 6.

Step by step solution

01

Step 1. Given information

We have been given that one number is six more than five times another. Their sum is six.

We have to find the numbers.

02

Step 2. Form the equations

From the statement: One number is six more than five times another. Their sum is six.

We get,

x=5y+6______(1)x+y=6_______(2)

03

Step 3. Solve for the equations

Put equation (1) in (2)

x+y=65y+6+y=66y+6=66y=0y=0

Put the value of y in (1)

x=5(0)+6x=0+6x=6

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