Question

Three consecutive integers are such that when they are taken in increasing order and multiplied by 3 ,5 and 7 respectively, they add up to 94. Find the numbers.

Answer 1

$\huge\mathfrak\pink{Answer}$

Let the three consecutive integers are x, x+1 and x+2.

According to the question,

2x + 3(x+1) + 4(x+2) = 74

⇒ 2x + 3x +3 + 4x + 8 = 74

⇒ 9x + 11 = 74

⇒ 9x = 74 - 11

\Rightarrow x=\frac{63}{9}⇒x=

9

63

⇒ x = 7

Thus, the numbers are:

x = 7

x+1 = 8

x+2 = 9

Step-by-step explanation:

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