If the sum of an odd and even natrual numbers is 57 and the difference between them is 3 ,what are the numbers, show me the neccessary steps

The numbers are 27 and 30

Step-by-step explanation:

Assume that the even number is x and the odd number is y

∵ The even number is x

∵ The odd number is y

∵ Their sum is 57

→ Add them and equate the sum by 57

∴ x + y = 57 ⇒ (1)

∵ Their difference is 3

→ Subtract them and equate the difference by 3

∴ x - y = 3 ⇒ (2)

→ Let us solve the system of the equations by adding equations (1) and (2)

∵ (x + x) + (y - y) = (57 + 3)

∴ 2x + 0 = 60

∴ 2x = 60

→ Divide the two sides by 2

∴ x = 30

→ Substitute the value of x in equation (1) to find the value of y

∵ 30 + y = 57

→ Subtract 30 from both sides

∴ 30 - 30 + y = 57 - 30

∴ y = 27

∴ The numbers are 27 and 30

step-by-step explanation:

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