Question

sum of two numbers is 35 and their difference is 13 . find the numbers.

Answer 1

A+B=35  A-B=13  2A=48 A=29  Sub A in A+B=35                29+B=35              B=6

Answer 2

☞ Sum of two numbers is 35.

Let one number be M and another be N

=> M + N = 35

=> M = 35 - N ________(eq 1)

☞ The difference these numbers (i.e. M and N) is 13.

=> M - N = 13

=> (35 - N) - N = 13 [From (eq 1)]

=> 35 - N - N = 13

=> - 2N = 13 - 35

=> - 2N = - 22

=> 2N = 22

=> N = 11

• Put value of N in (eq 1)

=> M = 35 - (11)

=> M = 24

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Numbers are :

24 and 11

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