Question

The difference of two numbers is 2.7 times of smaller and 5 times of larger are equal find them solve the equation full solution plz​

Answer 1

Answer:

The sum of two number is 17.

Let numbers are x,y.

So x+y=17

Also suppose x is larger number and y is smaller number.

Twice the larger number is 2x and 3 times the smaller number is 3y.

Difference of 2x and 3y is 4. (Given in question)

2x-3y=4

From 1st equation we have x= 17–y

Put this value of x in 2nd equation 2x-3y=4

=> 2(17-y) -3y =4

=> 34–2y-3y =4

=> 34–5y=4

=> 34–4= 5y

=>30 =5y

Divide by 5.

=> y=6

Putting value of y in 1st equation that is x+y=17

=> x+6=17

=> x=17-6

=> x=11

So required numbers satisfying given conditions are 6,11.