Question

If 21m+29n=51&29m+21n=49 find m+n

Answer 1

The value of m + n = 2

Given :

The linear equations 21m + 29n = 51 and 21n + 29m = 49

To find :

The value of m + n

Solution :

Step 1 of 2 :

Write down the given equations

Here the given linear equations are

21m + 29n = 51

21n + 29m = 49

Step 2 of 2 :

Find the value m + n

Adding the equations we get

21m + 29n + 21n + 29m = 51 + 49

⇒ 21m + 29m + 21n + 29n = 100

⇒ 50m + 50n = 100

⇒ 50 ( m + n ) = 100

⇒ m + n = 100/50

⇒ m + n = 2

The value of m + n = 2

Shortcut:

add both the equations

we get,

50m+50n=100

50(m+n)=100

m+n=2

i hope it helps

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