Question

Three times the sum of two numbers is 105. The difference of greater and the smaller number is 13. Find the numbers.​

Answer 1

Answer:

11

Step-by-step explanation:

Let the two numbers be x and y (x be the greater one and y be the smaller one)  

3(x+y)=105  

=>x+y=105/3  

=>x+y=35...equation 1  

x-y=13...equation 2

 

By adding equations 1 and 2 we get  

x+y=35  

x-y=13  

We get 2x=48  

=>x=48/2=24

 

Substitute x = 24 in equation 1  

x+y=35  

=>24+y=35  

=>y=35-24  

=>y=11  

Therefore, the greater number is 24 and the smaller one is 11

Hope this helps you

Answer 2

Answer:

24 and 11

Step-by-step explanation:

Let the 2 nos be x and y

let x > y

ATQ

3(x+y) = 105

3x+3y = 105 -1

x-y = 13

Multiplying above equation by 3

3x-3y = 39 -2

1+2

6x = 144

x = 24

24-y = 13

y = 24-13 = 11