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The number 3 divides a with a result of b and a remainder of

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The number 3 divides a with a result of b and a remainder of [#permalink] New post   21 Apr 2018, 03:24
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The number 3 divides a with a result of b and a remainder of 2. The number 3 divides b with a result of 2 and a remainder of 1. What is the value of a ?

(A) 13
(B) 17
(C) 21
(D) 23
(E) 27
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D
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Re: The number 3 divides a with a result of b and a remainder of [#permalink] New post   25 Apr 2018, 02:10
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Formulate the given information into a eqn
\(3b + 2 = a\)
\(3*2 +1 = b\)
so, \(b = 7\)
replace \(b\) in the 1st eqn to get \(21 +2 = a\)
or, \(a = 23\)
option D
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Re: The number 3 divides a with a result of b and a remainder of [#permalink] New post   04 Jan 2022, 09:09
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Dividend = Divisor * Quotient + Remainder

The number 3 divides a with a result of b and a remainder of 2
Dividend = a
Divisor = 3
Quotient = b
Remainder = 2
=> Dividend = Divisor * Quotient + Remainder
=> a = 3b + 2 ...(1)

The number 3 divides b with a result of 2 and a remainder of 1
Dividend = b
Divisor = 3
Quotient = 2
Remainder = 1
=> Dividend = Divisor * Quotient + Remainder
=> b = 3*2 + 1 => b = 7 ...(2)

What is the value of a
a = 3b + 2 [From (1)]
=> a = 3*7 + 2 [ From (2) ]
=> a = 21 + 2 = 23

So, Answer will be D
Hope it helps!

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Re: The number 3 divides a with a result of b and a remainder of [#permalink]
04 Jan 2022, 09:09
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