Question

2. A sum of * 15525 is divided
among Sunil, Anil and Jamil
such that if 22, * 35 and 48
be diminished from their shares
respectively, their remaining
sums shall be in the ratio 7: 10
: 13. What would have been the
ratio of their sums if 16, 77,
337 respectively were added to
their original shares?​

Answer 1

Answer:

Step-by-step explanation:Let they divide the Amount in the ratio of x, y, and z.

Now,

According to question,

We know that when Rs. 22, Rs. 12 and Rs. 48 is diminshed the ratio become 7 : 10 : 13

x - 22 = 7a => x = 7a + 22

y - 35 = 10a => y = 10 + 35

z - 48 = 13a => z = 13a + 48

∴ 7a + 22 + 10a + 35 + 13a + 48 = 15525

30a = 15525 - 105

a=1542030

a = 514

Hence,

x=7a+22=7×514+22=3620

y=10a+35=7×514+35=5175

z=13a+48=13+114+48=6730

Now, after adding Rs. 16, Rs. 77, and Rs. 37 in x, y and z respectively.

The ratio is

3620 + 16 : 5175 + 77 : 6730 + 37

3636 : 5252 : 6767

36×101:52×101:67×101

Required ratio = 36 : 52 : 67

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