Question

The average of 5 consecutive odd number P, Q, R, S and T is 1/7th of 175. What is product of P and T?

Answer 1

let P be the first odd number of the given numbers

Then,

Q= P+2

R=P+4

S=P+6

T=P+8

the average of all =

(P+P+2+P+4+P+6+P+8)/5=175/7

or, (5P+20)/5=175/7

or,5(P+4)/5=175/7

or, P+4=175/7

or,P+4= 25

or,P=25-4

therefore, P=21

T= P+8

T=21+8

i.e.T=29

P x T = 21 x 29 = 609

Answer 2

Answer:

609

Step-by-step explanation:

Let's assume that Y is the first prime number.

So as per question

(Y + Y+2 + Y+4 + Y+6 + Y+8)/5 = (1/7) x 175

(Y + Y+2 + Y+4 + Y+6 + Y+8)/5 = 25

(Y + Y+2 + Y+4 + Y+6 + Y+8) = 5 x 25

5Y + 20 = 125

Y= 21

First odd number, P = 21

Last odd number, T = 29

Product of P and T = 609.

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