Question

two numbers differ by 3. the sum of twice the smaller number and thrice the greater number is 19 . find the number

Answer 1

greater is 5 and smaller is 2

Step-by-step explanation:

let the greater number be x

then,the smaller be x-3

the sum of twice the smaller number ana thrice the greater number is 19

therefore,2(x-3)+3×(x)=19

or,2x-6+3x=19

or,2x+3x=19+6

or,5x=25

or,x=25/5=5

or,x=5

therefore,x=5

Hence the larger number is x=5 and smaller is x-3=5-3=2

Answer 2

Answer:

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

from the first condition

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

thrice the greater no. = 3x

twice the smaller no. = 2y

from the second condition,

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

multiplying equation (l) by 2,

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

Adding equation (l) and (lll)

3x + 2y = 19

+ 2x - 2y = 6

5x. = 25

therefore x = 5

substituting x = 5 in equation (l)

5 - y = 3

- y = 3-5

- y = 2

y = 2

the required no. are 5 and 2

Step-by-step explanation:

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