Question

There are two positive number such that sum of twice the first and thrice tye second is 39, while the sum of thrice the first and twice the second is 36 find the two numbers​

Answer 1

Answer:

the 2 no.s are 6 & 9

Step-by-step explanation:

let x & y be the 2 no.s

given, 2x + 3y = 39 --------- (1)

also,

3x + 2y = 36 ------------ (2)

 (1)*2 => 4x+6y = 78   ------------ (3)

 (2)*3 => 9x+6y = 108  ----------- (4)

             _______________

(3)-(4) => -5x = -30

            => x = 30/5 = 6

substitute the value of x=6 in (1)

=> 2(6) + 3y = 39

=> 12+3y = 39

=> 3y = 39-12 = 27

=> y = 27/3 = 9

the 2 no.s are 6 & 9

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