SOLUTION: there are two numbers.one number is 10 more than the other.the difference between twice the bigger number and thrice the smaller number is 12.what are the two numbers?

Question 512210: there are two numbers.one number is 10 more than the other.the difference between twice the bigger number and thrice the smaller number is 12.what are the two numbers?
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Let Numbers are x and y
x=10+y.....................(1)
2x-3y=12...................(2)
Put the value of x in (2)
2(10+y)-3y=12
20+2y-3y=12
20-y=12
-y=12-20
-y=-8
Multiply by (-1) both sides of above equation
y=8
Put the value of y in (1)
x=10+y.....................(1)
x=10+8
x= 18
Numbers and 8, 18
Check
Put the value of x and y in (1)
x=10+y.....................(1)
18=10+8
18=18
Now
Put the value of x and y in (2)
2x-3y=12...................(2)
2(18)-3(8)=12
36-24=12
12=12

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