Question

Sum of two numbers be 150 and then H.CF, is
15. Find the numbers.​

Answer 1

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Explanation:

Given :

Sum of two numbers is 150 ,H.C.F is 15

To Find:

Numbers

=>15a and 15b [where a & b must be co-prime ]

=>15a+15b=150

=>15(a+b)=150

$= > a + b = 10$

Finding co-prime numbers under 10 whose sum is 10:

(5,5)&(3,7) we can't take (2+8),(6+4) because it is not co-prime numbers having more than 1 common factor.

Now finding numbers:-

$(15 \times 5\:{\&#38}\:15 \times 5) =( 75,75)$

$(15 \times 3\: {\&#38}\: 15 \times 7) = (45,105)$

Therefore ,The number is (45,105)

&(75,75)