Question

17. The L.C.M. & H.C.F. of two numbers x & y are L & h respectively. Then
(a) L : h = x : y
(6) x :h = L: y
(c) x: L = y: h
(d) x : h = y : L
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Answer 1

OPTION A IS YOUR ANSWER

Answer 2

(b) is the correct answer.

Given:

LCM(x, y) = L

HCF(x, y) = h

To find: A correct proportion between x, y, L and h

Solution:

We are given that,

LCM(x, y) = L

HCF(x, y) = h

Also, we know that

xy = LCM(x, y) × HCF(x, y)

⇒ xy = Lh

Dividing both sides by yh, we get

⇒ $\frac{xy}{yh} =\frac{Lh}{yh}$

⇒ $\frac{x}{h} = \frac{L}{y}$

Writing the fraction in the form of a ratio, we get

x : h = L : y

Hence, (b) is the correct answer.

SPJ2