Question

The sum of 5 natural numbers A D and 126. It is known that BC = 23, CD = 4.5; DE = 5.7 . What is the difference between A

Answer 1

SOLUTION

COMPLETE QUESTION

The sum of 5 natural numbers A, B, C, D, E is 126. It is known that A:B = 7:8, B:C = 2:3, C:D = 4:5, D:E = 5:7.What is the difference between A and E?

a) 14

b) 22

c) 24

d) 28

e) 32

EVALUATION

Here by the given condition

A : B = 7 : 8

B : C = 2 : 3 = 8 : 12

C : D = 4 : 5 = 12 : 15

D : E = 5 : 7 = 15 : 21

Thus we get

A : B : C : D : E = 7 : 8 : 12 : 15 : 21

Let A = 7x , B = 8x , C = 12x , D = 15x , E = 21x

Now it is given that sum of 5 natural numbers A, B, C, D, E is 126

So by the given condition

7x + 8x + 12x + 15x + 21x = 126

⇒ 63x = 126

⇒ x = 2

Hence the required difference between A and E

= 21x - 7x

= 14x

= 14 × 2

= 28

FINAL ANSWER

Hence the correct option is d) 28

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