The sum of the num erator and denominator of fraction is 12. If one is adde to both the numerator and denominator the f Crew raction becomes 3/4 .find the fraction? 10th class.
Answers
Answered by
2
Answer :
Let us consider that the fraction is a/b.
By the given conditions,
a + b = 12
⇒ b = 12 - a ...(i)
and
(a + 1)/(b + 1) = 3/4
⇒ 4 (a + 1) = 3 (b + 1)
⇒ 4a + 4 = 3b + 3
⇒ 4a + 4 = 3 (12 - a) + 3, by (i)
⇒ 4a + 4 = 36 - 3a + 3
⇒ 4a + 3a = 36 + 3 - 4
⇒ 7a = 35
⇒ a = 35/7
⇒ a = 5
From (i), we get
b = 12 - a = 12 - 5 = 7
Therefore, the required fraction is
= 5/7
#MarkAsBrainliest
Let us consider that the fraction is a/b.
By the given conditions,
a + b = 12
⇒ b = 12 - a ...(i)
and
(a + 1)/(b + 1) = 3/4
⇒ 4 (a + 1) = 3 (b + 1)
⇒ 4a + 4 = 3b + 3
⇒ 4a + 4 = 3 (12 - a) + 3, by (i)
⇒ 4a + 4 = 36 - 3a + 3
⇒ 4a + 3a = 36 + 3 - 4
⇒ 7a = 35
⇒ a = 35/7
⇒ a = 5
From (i), we get
b = 12 - a = 12 - 5 = 7
Therefore, the required fraction is
= 5/7
#MarkAsBrainliest
Similar questions