The difference of two numbers is 4. Three times the smaller number is 4 more than twice 2 larger number. What are the numbers?
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Let x and y be the two numbers such that x > y .
Then
x - y = 4
=> x = 4 +y -------(i)
and,
3y = 2x + 4
=> 3y = 2(4+y) + 4
=> 3y = 8 + 2y + 4
=> 3y - 2y = 12
=> y = 12 ------(ii)
Using eqn(ii) in eqn(i),we get
x = 4 + 12 = 16
Therefore, the numbers are 16 and 12
Then
x - y = 4
=> x = 4 +y -------(i)
and,
3y = 2x + 4
=> 3y = 2(4+y) + 4
=> 3y = 8 + 2y + 4
=> 3y - 2y = 12
=> y = 12 ------(ii)
Using eqn(ii) in eqn(i),we get
x = 4 + 12 = 16
Therefore, the numbers are 16 and 12
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