Question

the sum of two numbers is 13 and their difference is 3. what are the numbers?

Answer 1

Answer:

10

Step-by-step explanation:

m− n +n = 3+ n. m− 0 = 3 + n. m = 3 +n. Then, substitute 3 +n for m in the second equation and solve for n: m+ n = 13 becomes: (3+ n)+ n = 13. 3 +2n = 13. −3+ 3 +2n = − 3+ 13. 0 +2n = 10.

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Answer 2

Solution:

Sum of two numbers = 13

Their difference is = 3

Let's take the numbers be x and y,

So,

x + y = 13⠀⠀⠀...(i)

x - y = 3 ⠀⠀⠀....(ii)⠀

From equation (i)

x + y = 13

=> y = 13 - x ⠀⠀...(a)

From equation (ii)

x - y = 3

=> - y = 3 - x

=> y = 3 + x ⠀⠀...(b)

So, from (a) and (b), we get

=> 13 - x = 3 + x

=> 13 - 3 = x + x

=> 10 = 2x

=> x = 10/2

=> x = 5

Putting value of x in equation (a), we get

=> y = 13 - 5

=> y = 8

Hence, the number are 5 and 8.