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If x,y and z are positive integers and 3x=4y=7z, then the least possible value for x + y + z is (a) 33 (b) 40 (c) 49 (d) 61 (e) 84

If x,y and z are positive integers and 3x=4y=7z, then the least possible value for x + y + z is (a) 33 (b) 40 (c) 49 (d) 61 (e) 84
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If x,y and z are positive integers and 3x=4y=7z,

then the least possible value for x + y + z is

(a) 33
(b) 40
(c) 49
(d) 61
(e) 84

asked
User Aanal Shah
by
7.7k points

1 Answer

5 votes
3x=4y=7z
so
GCF:
3 * 4 * 7 = 84

3x = 84
x = 28

4y = 84
y = 21

7z = 84
z = 12

least possible value for
x + y + z = 28 + 21 + 12 = 61

answer
(d) 61
answered
User Fabian Barkhau
by
8.9k points
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