Question

Two number differ by 3. The sum of twice the smaller number and thrice the greater number is 19. Find the number.

Answer 1

Let the bigger number be x.
Smaller number= x-3
2(x-3)+3x=19
2x-6+3x=19
5x=25
x=5
x-3=2
The bigger number is 5 and the smaller number is 2.
Hope it helps.

Answer 2

Step-by-step explanation:

Let the bigger number be x

smaller number be y

By the first condition ,

x - y = 3 .....(1)

By the second condition ,

3x + 2y = 19 .....(2)

Multiplying equation (1) by 2,

2x - 2y = 6 .....(3)

Adding equation (2) and (3),

3x + 2y = 19

2x - 2y = 6

--> 5x = 25

x = 25/5

x = 5

Put the value of x in equation (1),

x - y = 3

5 - y = 3

-y = 3 - 5

-y = -2

y = 2

The numbers are 5and 2....

Hope this helps you....