The larger of two numbers is one more than three times the smaller number. if the sum of the numbers is 49, find the numbers.

larger number x = 37 and smaller number y = 12

Step-by-step explanation:

Let the larger number be x and the smaller number be y.

Sum of the numbers is ....(1)

∴

Now, 3 times of the smaller number = 3y

According to question,

Now, by substituting the value of y in (2)

Now,y = 49 - x and

So the larger number x =37 and smaller number y = 12.  

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

y + 11 = (1/4)(x + 16)

step-by-step explanation: