Question

Two numbers differ by 5.the sum of twice the smaller number and thrice the greater number is the 19.Find the number.(form Simultaneous equation)

Answer 1

Answer:

greatest number = 7.2

Smallest number = 2.2

Step-by-step explanation:

let X be the greatest number and y be the smallest.

x-y=5

X=5+y

now 3X+2y=19

3(5+y) +2y=19

8+3y+2y=19

8+5y=19

5y=19-8

y=11/5

y= 2.2

X=5+2.2

X= 25+2.2

X=7.2

Answer 2

ANSWER:-

The two numbers are 2 and 5.

Explanation-

⇒ let the first number be x and the second number be x + 3

solving

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

= 2x + 3x + 9 = 19

= 5x + 9 = 19

= 5x = 19 - 9

= 5x = 10

= x = 10/5

=x = 2

finding the numbers =

= first number = x = 2

= second number = x + 3 = 2 + 3 = 5

therefore the two numbers are 2 and 5