Question

find two comsecutive odd numbers that two-fifths of the smaller exceed two-ninths of the greater by 4​

Answer 1

Answer:

find two comsecutive odd numbers that two-fifths of the smaller exceed two-ninths of the greater by 4

Answer 2

Given :-

Two consecutive odd number such that two fifths of the smaller exceeds two ninths of the greater by 4.

To Find :-

Two consecutive odd Integer = ?

Answer :-

Let the two consecutive odd Integer be x and x + 2 respectively.

Where, x be the smaller odd Integer and x + 2 be larger odd Integer.

According to Question :-

→ 2x/5 = 2/9 (x + 2) + 4

→ 2x × 9 = 5 × 2(x + 2) + 4

→ 18x = 10(x + 2) + 4 × 45

→ 18x = 10x + 20 + 4 × 45

→ 18x - 10x = 20 + 180

→ 8x = 200

→ x = 200 ÷ 8

→ x = 25

Therefore,the two consecutive odd Integer is 25 and x + 2 = 25 + 2 = 27.

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