Question

4. The difference between two whole numbers is 66. The ratio of the two
numbers is 2:5. What are the two numbers?

5. The sum of three consecutive multiples of 11 is 363. Find these
multiples.

6. The number of boys and girls in a class are in the ratio 7:5. The number
of boys is 8 more than the number of girls. What is the total class
strength?



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Answer 1

Answer:

4. difference=66

ratio=2:5

let the unknown numbers to be x

5x-2x=66

3x=66

x=66/3

x=22

5. sum=363

first number=11x

second number=11(x+1)

third number=11(x+2)

11x+11x+11+11x+22=363

33x+33=363

33x=363-33

33x=330

x=330/33

x=10

first number=10×11=110

second number=11(10+1)=111

third number=11(10+2)=112

6. ratio of boys=7

ratio of girls=5

let the unknown numbers to be x

7x-5x=8

2x=8

x=8/2=4

number of boys=7×4+8=36

number of girls=5×4=20

total class strength=36+20=56

Step-by-step explanation:

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Answer 2

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Step-by-step explanation:

Q4)

let the ratio be x

5x-2x=66

3x=66

x=66/3

x=22

the value of x is 22

for 2x

2(22)

44

for 5x

5(22)

110

the two no. are 44 and 110

Q5

(11*20)+(11*12)+(11*1)=363

220+132+11=363

363=363

Q6

let the ratio be x

7x and 5x

the difference between boys and girl is 8.

So

7x-5x=8

2x=8

x=8/2

x=4

the value of x is 4

for 7x

7(4)

28

for 5x

5(4)

20

total strength:-

28+20

48