Respuesta :
Given:
Sum of the numerator and denominator = 18
If the denominator is increased by 2 , the fraction reduces to 1/3.
Find:
the fraction
Solution:
Let the fraction be x/y.
⟹ x + y = 18
⟹ x = 18 - y -- equation (1)
And,
If the denominator is increased by 2 , the fraction reduces to 1/3.
⟹ x/y + 2 = 1/3
⟹ 3x = y + 2
Substitute the value of x from equation (1).
⟹ 3(18 - y) = y + 2
⟹ 54 - 3y = y + 2
⟹ 54 - 2 = y + 3y
⟹ 52 = 4y
⟹ 52/4 = y
⟹ 13 = y
Substitute the value of y in equation (1).
⟹ x = 18 - 13
⟹ x = 5
Therefore, the required fraction x/y is 5/13.
I hope it will help you.
Regards.
Answer:
Length is twice the breadth.
→ Length = 2 * x = 2x m.
Also,
Perimeter of the field = 150 m.
We know that,
Perimeter of a rectangle = 2(length + breadth).
Hence,
→ 150 = 2(x + 2x)
→ 150 = 2 * 3x
→ x = 150/2 * 3
→ x = 25
Step-by-step explanation:
