1.

Two numbers P and Q are given What is P+Q ? (i) LCM of P and Q is 36 times their HCF (ii) The sum of LCM of P & Q and their HCF is 444. P/10+Q/10 is an integer. (iv) P+Qgt150 Which of the given statements are redundant to find the answer of the question.

Answer»

1.statement(ii)
2.statement (iii)
3.statement (iv)
4.statement(i)

Solution :Let x men typisst do the TYPING in (n-5) DAYS And y woment typist do the typing in n days So, `x(n-5)=y(n)`
From option (i)
Let `x=2p`
And `y=5p`
`2p(n-5)=5p(n)`
`2n-10=5n`
`n=-(10)/(3)` not POSSIBLE
From option (ii),
`10p(n-5)=3p(n)`
`10n-50=3n`
`7n=50`
`n=(50)/(7)` it is possible
Fromoption (iii)
`9p(n-5)=7p(n)`
`9n-45=7n`
`2n=45`
`n=(45)/(2)` possible
Fromoption (iv)
`10p(n-5)=7p(n)`
10n-50=7n`
`n=(50)/(3)` possible
So, (ii),(iii) and (iv) are possible.


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