Question

(d)
IfH.C.F. of 35 and 84 is 7, then their LCM is.
(a) 420 (b)2940
निम्न ग्राफ एक बहपद का ग्राफ है, तो इस बहुपद के शून्यकों की संख्या है- ।
(c) 60​

Answer 1

Answer:

Step-by-step explanation:

Let the 2 numbers be Ax and Ay, where A is the HCF of two numbers(i.e., the highest common factor of 2 numbers) . As A is the HCF, so x and y must be co-prime to one another,i.e., HCF of x and y is 1.

Now, according to given conditions-

Ax+Ay=144 or A(x+y)=144 ——————— Eqn. (1)

LCM of Ax and Ay will be Axy and Axy=420 ——————-Eqn. (2)

Divide Eqn.(2) with Eqn.(1),we get-

Axy/A(x+y)=420/144 or xy/(x+y)=35/12 ————————Eqn.(3)

Now, the only value of x and y which satisfies the Eqn.(3) is 7 and 5.

Putting the values of x and y in Eqn.(1), we get-

A(7+5)=144 or A=12

Thus,the numbers are Ax=12*7=84 and Ay=12*5=60.