The ratio between two numbers is 3:4 and their L.C.M is 180. The first number is?
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Let the 2 numbers be 3x and 4x and HCF be x.
Using formula, a×b = LCM × HCF
3x × 4x = 180 × x
12x² = 180x
x = 180/12
x = 15
a = 3x = 3×15 = 45
b = 4x = 4×15 = 60
HCF = x = 15
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45 and 60
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