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OverLord2011 [107]
3 years ago
8

1. The ages of Sonal and Manoj are in the ratio of 7:5. Ten years hence, the ratio of their ages will be 9:7. Find the present a

ge ​
Mathematics
1 answer:
sesenic [268]3 years ago
4 0

Answer:

Ratio of present ages of Sonal and Manoj = 7:5

Let us consider the ages of Sonal and Manoj to be 7x yrs. and 5x yrs. respectively.

After 10 years, ratio of their ages = 9:7

A/q,  7x+10/5x+10 = 9/7

or     9 (5x+10) = 7 (7x+10)

or     45x + 90 = 49x + 70

or      49x - 45x = 90 - 70

or      4x = 20

or       x  =  20/4  =  5 .

Therefore, present age of Sonal = 7x yrs. = 7 x 5 yrs. = 35 yrs.

                    present age of Manoj = 5x yrs. = 5 x 5 yrs. = 25 yrs.              

Step-by-step explanation:

You helped me before so thank you

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13. For the arithmetic sequence: 6, 12, 18, 24,...
serg [7]

a_15 = 90

a_n = 6n

Step-by-step explanation:

Given sequence is:

6, 12, 18, 24,...

First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

d=a_2-a_1 = 12-6 = 6\\d=a_3-a_2= 18-12 = 6

The general form for arithmetic sequence is:

a_n=a_1+(n-1)d

Putting the values for a_1 and d

a_n=6+(n-1)(6)\\a_n=6+6n-6\\a_n=6n

<u>a) Find a15</u>

a_{15} = 6(15)\\=90

<u>b) Write an equation for the nth term.</u>

The equation is: a_n=6n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

4 0
3 years ago
A problem states. "There are 7 more girls than boys in a club
Paul [167]

x= number of boys in the club because it is unknown.

x + 7= the number total number of girls in the club.

4 0
2 years ago
What percent of 20 is 7?
topjm [15]
7 is 35% out of 20, when you divide 7 by 20, you get 0.35 which is 35%.
8 0
3 years ago
Plz help due tonight!!!
jolli1 [7]

Answer:

x=75+36

x=111

Step-by-step explanation:

pls mark as brainliest

7 0
2 years ago
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Verify the equation below with each of the values listed for x to find a solution. 5 = 3x + 4 a.x=3 b.x=-1/3 c.x=1/3 d.x=1/4
julia-pushkina [17]

Answer:

the answer is C

Step-by-step explanation:

8 0
3 years ago
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