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Chapter 3: Q. 36 (page 316)

One number is eight more than another. If their sum is increased by 17, the result is 95. Find the numbers.

Short Answer

Expert verified

The numbers are 35and 43.

Step by step solution

01

Step 1. Given information

We have been given that one number is eight more than another. If their sum is increased by 17, the result is 95.

We have to find the numbers.

02

Step 2. Form the equations

From the statement: One number is eight more than another. If their sum is increased by 17, the result is 95.

We get,

x=y+8_______(1)x+y+17=95______(2)

03

Step 3. Solve for the equations

Put equation (1) in (2)

x+y+17=95y+8+y+17=952y+25=952y=70y=35

Put the obtained value of y in equation (1)

x=y+8x=35+8x=43

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