SOLUTION: The difference between two numbers is 12, and four times the Langer number exceeds three times the smaller number by 90,what is the larger number?

Question 570684: The difference between two numbers is 12, and four times the
Langer number exceeds three times the smaller number by 90,what is the larger number?
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Let
Larger number = x
Smaller number = y
Given
======
The difference between two numbers is 12
x-y=12
x=12+y..................(1)
Four times the larger number exceeds three times the smaller number by 90
4x=3y+90...........(2)
Put the value of x from (1) to (2)
4x=3y+90
4(12+y)=3y+90...........(2)
48+4y=3y+90
4y-3y=90-48
y=42
Put the value of y in (1)
x=12+y
x=12+42
x=54

Larger Number is 54

RELATED QUESTIONS
The difference between two numbers is 34. The larger exceeds three times the smaller by... (answered by College Student)

The sum of two numbers is 38. Four times the smaller exceeds three times the larger... (answered by flame8855)

one number is 7 more than another number. Find the two numbers if three times the larger... (answered by checkley77)

One number is 11 more than another. Find the two numbers if three times the larger number (answered by mananth,nyc_function)

The difference between two numbers is 10 and their sum is four times the smaller number.... (answered by Alan3354)

The difference between two numbers is twelve. Three times the smaller number is four less (answered by jim_thompson5910)

The difference of two numbers is 4. Larger number exceeds three times the smaller number... (answered by solver91311)

The difference between two numbers is 14. Three times the larger number is 45 less than... (answered by Fombitz)

The smaller of two numbers is 12 less than the larger. Four times the larger exceeds 3... (answered by JulietG)