Question

The HCF and LCM of two numbers is 50 and 250.If the first number is divided by 2 the quotient is 50.Find the second number.

Answer 1

Dear user...

As the quotient is 50 so 50× 2 =100

the first no. is 100

LCM × HCF = PRODUCT OF THE INTEGERS

250 × 50 = 100 × X

250×50/100 = X

therefore X = 125

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Answer 2

let the numbers be X and Y
HCF × LCM = X × Y
50 × 250 = X × Y
12500 = X × Y ..... (1)
Now
X/2 = 50
X = 100
putting the value of X in equation (1) we get
100 × Y = 12500
Y = 12500/100 = 125
Ans. the two numbers are 100 and 125