Question

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Question : The larger of two is 1 more than 3 times the smaller. If the smaller is subtracted from the larger, the result is 11. Find the two numbers

The two numbers are___ and _____

Answer 1

Answer:

5 and 16

Step-by-step explanation:

smaller: x

larger: 3x+1 (1 more than 3 times x)

larger-smaller=11, so

3x+1-x=11

2x+1=11

2x=10

x=5

other is 3x+1, so 3(5)+1 = 16

Answer 2

Answer:

Let the larger be a and smaller b

a=3b+1 .....equ i

a=11+b.....equ ii

since a=a

3b+1=11+b

2b=10

b=5

from equ ii

a=11+5

a=16

Step-by-step explanation:

5 and 16