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the larger number is 10 less than twice the smaller and their sum is 56 what are the numbers​

Sagot :

Answer:

L = 34

S = 22

Step-by-step explanation:

Given:

L (larger number) = 2S - 10 [1st equation]

S (smaller number) =?

56 = L + S [2nd equation]

Solution:

Substitute the value of L in the second equation.

So;

56 = (2S - 10) + S

56 = 3S - 10

3S = 56 + 10

3S = 66

S = 22

Now, substitute the value of S in the 1st equation.

L = 2S -10

L = 2(22) -10

L = 44 - 10

L = 34