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Ranamita

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  1. Asked: March 4, 2021In: Class 8 Maths

    Three consecutive integers add up to 51. What are these integers?

    Ranamita
    Added an answer on March 4, 2021 at 10:43 am

    Let the three consecutive integers be x,x+1 and x+2. According to the question, x+x+1+x+2=51 ⇒ 3x+3=51 ⇒ 3x+3-3=51-3 [Subtracting 3 from both sides] ⇒ 3x=48 ⇒ 3x/3=48/3 Dividing both sides by 3] ⇒ x=16 Hence, first integer = 16, second integer = 16 + 1 = 17 and third integer = 16 + 2 = 18. for moreRead more

    Let the three consecutive integers be x,x+1 and x+2.
    According to the question, x+x+1+x+2=51
    ⇒ 3x+3=51
    ⇒ 3x+3-3=51-3 [Subtracting 3 from both sides]
    ⇒ 3x=48
    ⇒ 3x/3=48/3 Dividing both sides by 3]
    ⇒ x=16
    Hence, first integer = 16, second integer = 16 + 1 = 17 and third integer = 16 + 2 = 18.

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-2/

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  2. Asked: March 4, 2021In: Class 8 Maths

    Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?

    Ranamita
    Added an answer on March 4, 2021 at 10:36 am

    Let the two numbers be 5x and 3x According to question, 5x-3x=18 ⇒ 2x=18 ⇒ 2x/2=18/2 [Dividing both sides by 2] ⇒ x=9 Hence, first number = 5 x 9 = 45 and second number = 3 x 9 = 27. for more answers vist to: https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-2/

    Let the two numbers be 5x and 3x
    According to question, 5x-3x=18
    ⇒ 2x=18
    ⇒ 2x/2=18/2 [Dividing both sides by 2]
    ⇒ x=9
    Hence, first number = 5 x 9 = 45 and second number = 3 x 9 = 27.

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-2/

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  3. Asked: March 4, 2021In: Class 8 Maths

    Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.

    Ranamita
    Added an answer on March 4, 2021 at 10:34 am

    Sum of two number = 95 Let the first number be x, then another number be x+15. According to the question, x+x+15=95 ⇒ 2x+15=95 ⇒ 2x+15-15=95-15 [Subtracting 15 from both sides] ⇒ 2x=80 ⇒ 2x/2=80/2 [Dividing both sides by 2] ⇒ x=40 So, the first number = 40 and another number = 40 + 15 = 55 Hence, thRead more

    Sum of two number = 95
    Let the first number be x, then another number be x+15.
    According to the question, x+x+15=95
    ⇒ 2x+15=95
    ⇒ 2x+15-15=95-15 [Subtracting 15 from both sides]
    ⇒ 2x=80
    ⇒ 2x/2=80/2 [Dividing both sides by 2]
    ⇒ x=40

    So, the first number = 40 and another number = 40 + 15 = 55
    Hence, the two numbers are 40 and 55.

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-2/

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  4. Asked: March 4, 2021In: Class 8 Maths

    The base of an isosceles triangle is 4/3 cm. The perimeter of the triangle is 62/15 cm. What is the length of either of the remaining equal sides?

    Ranamita
    Added an answer on March 4, 2021 at 10:29 am

    ⇒ 62/15=4/3+x+x ⇒ 62/15=4/3+2x ⇒ 62/15-4/3=4/3-4/3+2x [Subtracting 4/3 from both the sides] ⇒ 62-20/15=2x ⇒ 42/15=2x ⇒ 42/15x2=2x/2 [Dividing both sides by 2] ⇒ 7/5=x ⇒ x=7/5cm Hence, each equal side of an isosceles triangle is x=7/5cm. for more answers vist to: https://www.tiwariacademy.com/ncert-sRead more

    ⇒ 62/15=4/3+x+x
    ⇒ 62/15=4/3+2x
    ⇒ 62/15-4/3=4/3-4/3+2x [Subtracting 4/3 from both the sides]
    ⇒ 62-20/15=2x ⇒ 42/15=2x
    ⇒ 42/15×2=2x/2 [Dividing both sides by 2]
    ⇒ 7/5=x ⇒ x=7/5cm
    Hence, each equal side of an isosceles triangle is x=7/5cm.

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-2/

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  5. Asked: March 4, 2021In: Class 8 Maths

    The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and breadth?

    Ranamita
    Added an answer on March 4, 2021 at 10:23 am

    Let the breadth of the pool be x m. Then, the length of the pool = (2x+2)m Perimeter = 2(l+b) ⇒ 154 = 2(2x+2+x) ⇒ 154/2 = 2(2x+2+x)/2 [Dividing both sides by 2] ⇒ 77=3x+2 ⇒ 77-2=3x+2-2 [Subtracting 2 from both sides] ⇒ 75=3x ⇒ 75/3=3x/3 [Dividing both sides by 3] ⇒ 25=x ⇒ x=25 Length of the pool= 2xRead more

    Let the breadth of the pool be x m.
    Then, the length of the pool = (2x+2)m
    Perimeter = 2(l+b)
    ⇒ 154 = 2(2x+2+x)
    ⇒ 154/2 = 2(2x+2+x)/2 [Dividing both sides by 2]
    ⇒ 77=3x+2
    ⇒ 77-2=3x+2-2 [Subtracting 2 from both sides]
    ⇒ 75=3x
    ⇒ 75/3=3x/3 [Dividing both sides by 3]
    ⇒ 25=x ⇒ x=25
    Length of the pool= 2x+2=2×25+2=50+2=52 m, Breadth of the pool=25m Hence, the length of the pool is 52 m and breadth is 25 m.

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-2/

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