Question

Difference between two numbers is 30. Twice
the greater number is less than 7 times the
smaller number by 5. Find the numbers​

Answer 1

Answer:

x=smaller number

y=larger number

x+y=12

y=3x-6

Let's begin with the first equation...

x+y=12

Let's substitute...

x+(3x-6)=12

4x-6=12

Let's add 6 to both sides as we proceed to isolate x...

6+4x-6=12+6

4x=18

Let's divide both sides by 4...

(4x)/4=18/4

x=9/2=4.5---smaller number

12-4.5=7.5---larger number

Let's check our work.

3x-6=y

3(4.5)-6=7.5

13.5-6=7.5

7.5=7.5

Answer 2

Answer:

Step-by-step explanation:

let the numbers be x and y

x-y= 30....(1)

now,

2x= 7y+5

2x-7y= 5....(2)

multiplying eq (1) by 2

2x-2y= 60....(3)

subtracting (2) from (3),

2x-2y= 60

- 2x+ 7y= -5

5y= 55

therefore, y= 55/5= 11

substituting value of y in (1),

x-y= 30

x-11= 30

x= 30+11

x= 41.

therefore,

value of x= 41, y= 11

hope this helps!!! ✌✌