Question

Three times a number and two times another number added

together gives 87. Two times the first number added to three

times the second number gives 93. Find the numbers.​

Answer 1

Answer:

Given :

Three times of a number added to two times of another number gives 33.

Three times of second number subtracted from four times the first number gives 10.

To find :

Two numbers

Solution

Let the numbers be x and y

A/q to 1st condition,

⇒ 3x + 2y = 33                           __(i)

A/q to 2nd condition,

⇒ 4x - 3y = 10                            __(ii)

Now multiplying (i) into 3 and (ii) into 2, we get,

                        9x + 6y = 99

                        8x - 6y  = 20

                     (+)__(-)___(+)_

                         17x = 119

                       ⇒ x = 119/17

                       ⇒ x = 7

Now putting value of x in (i) :

⇒ 3(7) + 2y = 33

⇒ 21 + 2y = 33

⇒ 2y = 33 - 21

⇒ 2y = 12

⇒ y = 12/2

⇒ y = 6

Therefore,

First number is 7 and second number is 6 .

Step-by-step explanation: