AmariJohnson4101 AmariJohnson4101
  • 09-12-2021
  • Mathematics
contestada

The sum of two numbers is 48.when the smaller number is subtracted from the larger number,the difference is 12. What are the two numbers

Respuesta :

zarampa
zarampa zarampa
  • 09-12-2021

Answer:

The two numbers are:

30 and 18

Step-by-step explanation:

a + b = 48

a - b = 12

From the first eq.

a = 48 - b

Replacing this last value in the second eq.

(48 - b) - b = 12

48 - 2b = 12

48 - 12 = 2b

36 = 2b

36/2 = b

18 = b

from the first eq.

a + 18 = 48

a = 48 - 18

a = 30

Check:

from the second eq.

a - b = 12

30 - 18 = 12  

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