Question

11. The denominator of the rational number is greater than its numerator by 8. If the numerator is
increased by 17 and the denominator is decreased by 1, the number obtained is 3/2. Find the rational
Number.
12. The difference between two whole numbers is 132. The ratio of the two numbers is 4:10. What are th
two numbers?
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Answer 1

11. Let the numerator of rational number be x,

a/q

X/x+8

X+17/x+8-1=3/2

x+17/x+7=3/2

(x+17)×2=(x+7)×3

2x+34=3x+21

34-21=3x-2x

13=x

x=13

Hence, the rational number is 13.

That's solve

Answer 2

Answer:

13/21

Step-by-step explanation:

1. Numerator = x
2. Denominator = x+ 8

x/x+8

• If the numerator is increased by 17

x + 17

• The denominator is decreased by 1

x + 8 - 1

x+17/x+7 = 3/2

• Cross multiplication used now

3(x + 7) = 2(x + 17)

3x + 21 = 2x + 34

3x - 2x = 34 - 21

x = 13

x/x + 8 = 13/13 + 8

13/21