Answer:
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
