two numbers are in the ratio 3 : 4 if their LCM is 180 find the numbers
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Answered by
7
hello...
Let the 2 numbers be 3x and 4x
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
Let the 2 numbers be 3x and 4x
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
Answered by
7
Let Two numbers be 3x and 4x
LCM of 3x and 4x is 12x
Now 12x=180
x=15
3*15=45
4*15=60
LCM of 3x and 4x is 12x
Now 12x=180
x=15
3*15=45
4*15=60
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