Question

the HCF and LCM of two numbers are 50 and 250 respectively. If the first no. is divided by 2,the quotient is 50 .Find the second number.

Answer 1

first no.=100
HCF×LCM=a×b
50×250=100×b
12500=100×b
12500/100=b
125=b
so second no.is 125

Answer 2

$\Large{\underline{\underline{\bf{AnSweR:-}}}}$

As wє αll knσw thαt ,

❥ lcm × hcf = α × в ( prσduct σf twσ numвєrs )...... ①

If thє fírst numвєr ís dívídєd вч 2 , thє quσtíєnt ís 50 .

$\Large{\underline{\underline{\bf{To FiNd:-}}}}$

❥ Fínd thє sєcσnd numвєr.

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

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↠ Fírst numвєr ÷ 2 = 50

↠ fírst numвєr = 100

frσm ① ,

↠ 50 × 250 = 100 × sєcσnd numвєr

↠ sєcσnd numвєr = 125.

❧ Hєncє , thє sєcσnd numвєr ís 125

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$\Large{\underline{\underline{\bf{Additional Information :-}}}}$

↠Thє l.c.m. σf twσ σr mσrє thαn twσ numвєrs ís thє lєαst numвєr whích ís єхαctlч dívísíвlє вч єαch σnє σf thє gívєn numвєrs. prσduct σf twσ numвєrs = (thєír h.c.f.) × (thєír l.c.m.)

HCF × LCM = a × b