Question

four times a number and three times another number added together make 43 two times the second number, subtracted from three times the first gives 11.what are the numbers​

Answer 1

Given question :

Four times a number and three times another number added together make 43 two times the second number subtracted from three times the first gives 11.

To find :

What are the numbers

Solution :

Supposed first number is X.

And another number is Y.

By first condition,

4X+3Y=43…. (1)

By second condition,

3X-2Y=11……(2)

Multiplying first by 2 and second by 3.

8X+6Y=86

+9X-6Y=33

We get, 17X=119

I. E. X=119/17

X=7

Substitute X=7 in equation 1 st .

28+3Y=43

3Y=43–28

3Y=15

Y=5.

The number are (7,5) .