if from twice the greater of the 2 numbers,45 is subtracted ,the result is the other number If from twice the smaller number, 21 is subtracted, the result is the greater number. Find the numbers.
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Answer:
x= 29
y=37
Step-by-step explanation:
Let x be the smaller no.
Let y be the greater no.
2y - 45 = x. ---eq. 1
2x-21=y. Can also be written as -y-21= -2x. ----eq 2
Multiplying eq 2 with 2
2y - 45 = x
-2y - 42 = -4x
Therefore
0 -87 = -3x
3x = 87
x = 29
Substituting value of x in eq 1
2y - 45 = 29
2y = 45 + 29
2y = 74
y = 37
Thus the smaller no. is 29 and the greater number is 37
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