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Chapter 3: Q. 34 (page 316)

One number is 11 less than another. If their sum is increased by eight, the result is 71. Find the numbers.

Short Answer

Expert verified

The numbers are26and37

Step by step solution

01

Step 1. Given information

We have been given that one number is 11 less than another. If their sum is increased by eight, the result is 71.

We have to find the numbers.

02

Step 2. Form the equations

From the statement One number is 11 less than another we get :

x-y=11______ (1)

From, If their sum is increased by eight, the result is 71. We get :

x+y+8=71_________ (2)

03

Step 3. Solve for the equations

From equation (1),

We get x=11+y

Put this value in equation (2)

x+y+8=7111+y+y+8=712y+19=712y=52y=26

Put this value in equaltion (1)

x=11+26x=37

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