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Chapter 4: Q 76 (page 404)

The sum of two numbers is 65.

Their difference is 25. Find the

numbers.

Short Answer

Expert verified

The numbers are45&20

Step by step solution

01

Step 1. Given

Sum=65and difference=25

02

Step 2. Calculation

Let the numbers are x&y

So, x+y=65and the difference is x-y=25

Now find the value of xfrom second equation and put it into first equation.

x-y=25x=25+yx+y=6525+y+y=652y=65-252y=40y=20

Now put the value of yin any equation and find the value of x.

x+y=65x+20=65x=65-20x=45

03

Step 3. Verification

Verify the values,

x+y=6545+20=6565=65

LHS is equal to RHS

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