Question

The difference between two numbers is 26 and the larger number exceeds thrice of the smaller number by 4.
Find the numbers

Answer 1

X=3Y+4

X-Y=26

3Y+4-Y=26

2Y+4=26

2Y=22

Y=11

3Y+4=37

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Answer 2

The two numbers would be 11 and 37.

Step-by-step explanation:

Let the two numbers be 'x' and 'y'.

In which the bigger number is 'x' and 'y' is the smaller one.

As per statement the difference between two numbers is 26.

x - y  = 26 ------------(1)

As per other statement larger number exceeds thrice of the smaller number by 4.

x = 3y + 4 -----------(2)

Now put the values of x in equation (1)

3y + 4 - y = 26

2y + 4 = 26

2y = 26 - 4

2y = 22

y = 22/2

y = 11

Now put the value of y in equation (2)

x = 3(11) + 4

x = 33 + 4

x = 37

The two numbers would be 11 and 37.

Learn more to make equations: https://brainly.in/question/7008377