Question

10th class algebra
practice set 1.5
qo no 1. two numbers differ by 3. the sum of twice the smaller number and thrice the greater number is 19 find the number​

Answer 1

Answer:

5 and 2

Step-by-step explanation:

let the gerater no be x and smaller no be y.

from the first condition,

x-y= 3 ...(1)

Thrice the greater no = 3x

Twice the smaller no = 2y

From the second condition,

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

Multipling the equation (1) by 2

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

Adding equation (2) and (3) ,

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

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

---------------------------------

5x = 25

x= 5

substituting x= 5 in eqn (1).

5- y = 3

-y = 3 - 5

-y = -2

y = 2

The required no are 5 and 2