2009
Mr. Raja petty cashier. He maintains the petty cash boo,
Enter the follow – Hansaction una petty cash book
rool
and
Marchast Received a Cheque for R8, loo to open the
Cartage Paid Rs.ro
Telegram and Postage Rs. 18
purchased of stationary Rsilo
Paid to coolle Rs. 20
Settled the balance due to My, kes to
Tiftin charges of customerns 5 s
paid to wages Rois.
3rd
8th
lith
18th
20th
29th
Answers
Answer:
Given:
Two numbers are in the ratio of 2 : 3.
If 15 is added to both the numbers the ratio becomes ¹¹⁄14.
To find:
The Greatest number?
Solution: Let consider the smaller number be 2m and Greater number be 3m.
★ Adding 15 to both numbers,
Smaller number = (2m + 15)
Greater number = (3m + 15)
• According to Question,
After adding 15 to both the numbers the ratio b/w two numbers becomes ¹¹⁄14.
➟ (2m + 15)/(3m + 15) = ¹¹⁄14
➟ 14(2m + 15) = 11(3m + 15)
➟ 28m + 210 = 33m + 165
➟ 28m – 33m = 165 – 210
➟ – 5m = – 45
➟ m = 45⁄5⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ [∵ –ve sign cancelled]
➟ m = 9
Therefore,
Smaller number, 2m = 2(9) = 18
Greater number, 3m = 3(9) = 27
∴ Hence, the Greater number is 27.
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• V E R I F I C A T I O N :
After adding 15 to both the numbers the ratio b/w two numbers becomes ¹¹⁄14. So, Let's Verify the answer by Substituting the value of m —
⇥ (2m + 15)/(3m + 15) = ¹¹⁄14
⇥ (2(9) + 15)/(3(9) + 15) = ¹¹⁄14
⇥ (18 + 15)/(7 + 15) = ¹¹⁄14
⇥ 33⁄42 = ¹¹⁄14
⇥ ¹¹⁄14 = ¹¹⁄14 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ∴ Hence Verified!
Explanation:
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