If a = 2p x 3q x 5'and b = p 2 x q3 x r5, where p, q and r are primes, find the value
ofp + q + r, given that a-b

(P2 etc are power)

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Solution

f a and b are any two composite numbers, they must have different prime factorizations. But since we have a = b given to us, then the prime factorizations must be the same.

Thus,
a=2^p3^qr^5= b = p^2q^3r^5
Hence, p=2 q=3 r=5

p+q+r=2+3+5=10

Ans: 10

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If a = 2p x 3q x 5'and b = p 2 x q3 x r5, where p, q and r are primes, find the value ofp + q + r, given that a-b (P2 etc are power)

f a and b are any two composite numbers, they must have different prime factorizations. But since we have a = b given to us, then the prime factorizations must be the same. Thus, a=2^p*3^q*r^5= b = p^2*q^3*r^5 Hence, p=2 q=3 r=5 p+q+r=2+3+5=10 Ans: 10

If a = 2p x 3q x 5'and b = p 2 x q3 x r5, where p, q and r are primes, find the value
ofp + q + r, given that a-b

(P2 etc are power)

f a and b are any two composite numbers, they must have different prime factorizations. But since we have a = b given to us, then the prime factorizations must be the same.

Thus,
a=2^p3^qr^5= b = p^2q^3r^5
Hence, p=2 q=3 r=5

p+q+r=2+3+5=10

Ans: 10