Question

the difference between two number is 13.thrice the smaller number is less by 1 than greater number then the sum of two number is​

Answer 1

Step-by-step explanation:

the difference between two number is 13.

let the numbers be X, X+13

thrice the smaller number is less by 1 than greater number

so 3(x)= (X+13)-1

3x= x+12

3x-x=12

2x= 12

X= 12/2

X= 6

x+13= 6+13=19

required numbers are X+13= 19, X= 6

Answer 2

Answer:

The sum of the two numbers = 25

Step-by-step explanation:

Given,

The difference between the two numbers is 13.

Thrice the smaller number is 1 less than the greater number

To find,

The sum of the two numbers

Solution:

Let 'x' and 'y' be the two numbers and let 'x' be the greater number.

Since the difference between the two numbers is 13, we have

x - y = 13 ----------------------(1)

Since thrice the smaller number is 1 less than the greater number, we have

3y = x -1

x = 3y +1 -------------(2)

Substitute x = 3y+1, in equation (1) we get

3y+1 -y = 13

2y = 13-1 = 12

y = 6

The smaller number =y =  6

The greater number = x = 3y+1 = 18+1 = 19

∴ The two numbers are 19 and 6

The sum of the two numbers = 19 +6 = 25

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