Two numbers are in ratio of 5:8 . Their sum is 200 more than their difference . Find the greater Of the two
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Answered by
54
Answer:
Let the Numbers be 5n and 8n.
☯ According to the Question :
↠ Sum of No(s) = 200 + Difference of No(s)
↠ (8n + 5n) = 200 + (8n – 5n)
↠ 13n = 200 + 3n
↠ 13n – 3n = 200
↠ 10n = 200
- Dividing both term by 10
↠ n = 20
__________________
☯ NUMBERS :
⇴ 5n = 5(20) = 100
⇴ 8n = 8(20) = 160
∴ Greater Number among it will be 160.
Answered by
4
Let two numbers be 5x and 8x
- Difference=8x-5x=3x
- Sum=8x+5x=13x
ACQ
- 13x=3x+200
- 13x-3x=200
- 10x=200
- x=20
,
Greater number=8x=8×20=160
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