A,B,C and D are positive Integers less than 10

A is three times of B

The difference b/ween Band D is 2

C is 1 less than D

Which is the smallest number ?

Question

A,B,C and D are positive Integers less than 10

A is three times of B
The difference b/ween Band D is 2
C is 1 less than D

Which is the smallest number ?

Varun.Rawat · Accepted Answer

Dear Student,

Please find below the solution to the asked query:

We have A, B, C and D as the given positive integers less than 10
Now, we are given that,A = 3B 1B - D = 2 2D - B = 2 3D = C + 1
4From, 1, we see that, the possible values that B can take is 1, 2
and 3 CASE 1: WHEN B = 1From 1, we get A = 3If we consider 2, we
get 1 - D = 2 ⇒D = -1 Not possible, as all of them are
positive integersConsider 3, we get D = 3Now, from 4, we get C =
2So, A = 3; B = 1; C = 2; D = 3Hence, B is the smallest among them
CASE 2 : WHEN B = 2From 1, we get A = 6If we consider 2, we
get 2 - D = 2 ⇒D = 0 Not possible, as all of them are positive
integersConsider 3, we get D = 4Now from 4, we get C = 3So, A = 6;
B = 2; C = 3; D = 4Hence, B is the smallest among them CASE 3 :
WHEN B = 3From 1, we get A = 9If we consider 2, we get 3 - D = 2
⇒ D = 1From 4, we get C = 1 - 1 = 0 Not possible, as all of
them are positive integersConsider 3, we get D = 5From 4, we get C
= 5 - 1 = 4So, A = 9; B = 3; C = 4; D = 5Hence, B is the smallest
among them So, we see that in all the three cases we get B as the
smallest number

Hence, B is the smallest number

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A,B,C and D are positive Integers less than 10 A is three times of B The difference b/ween Band D is 2 C is 1 less than D Which is the smallest number ?

A,B,C and D are positive Integers less than 10

A is three times of B

The difference b/ween Band D is 2

C is 1 less than D

Which is the smallest number ?