Find two consecutive odd number such that two fifths of the smaller exceeds two ninths of the greater by 4
Answers
Answered by
0
Answer:
Ans.- 23 ⁶/8
Step-by-step explanation:
Let,
smaller no be x
greater no be x+1
2x = 2(x+1) + 4
5 9
2x = 2x + 2 + 4
5 9
2x = 2x + 2 + 36
5 9
18x = 5(2x + 38)
18x = 10x + 190
18x - 10x = 190
8x = 190
x = 190
8
x = 23 ⁶/8 or 23.75 ans.
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Answered by
8
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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