Question

The sum of two numbers is 48. The larger number is 7 less than four times the smaller number. Find the numbers.

Answer 1

Answer:

11 and 37

Step-by-step explanation:

X= 4Y-7 and X+Y=48

X-4Y=-7

X+Y=48

Subtracting, we get -5Y=-55

Thus, Y=11 and X=37

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Answer 2

Step-by-step explanation:

let the smaller number be x,

then the larger number is 48-x

"Four times the smaller number is equal to twice the larger number"

translated into math....

4x = 2(48-x)

solve

4x = 96 - 2x

6x = 96

x = 16

So the smaller is 16, the larger is 32

check: is 4(16) = 2(32)

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