two number are in the ratio 5:8. if their LCM is 200, find the number.
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let the nos. be 5x n 8x
We know that a × b = HCF × LCM
5x × 8x = x × 200
40x² = 200x
40x²/x=200
40x=200
x =200/40
x = 5
1st number = 5x = 5 × x = 5 × 5 = 25
2nd number = 8x = 8 × x = 8 × 5 = 40
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