Q30 of 35 Page 3


The sum of the numerator and denominator of a fraction is 4 more than twice thenumerator. If the numerator and denominator are increased by 3, they are in theratio 2:3. Determine the fraction.


Let the numerator be x.

Numerator + Denominator = 2Numerator + 4

Then denominator = 2 x + 4 – x = x + 4
⇒

⇒

3x + 9 = 2x + 14
x = 5
Therefore the required fraction is 5/9.

More from this chapter

All 35 →
28
By selling a table and a chair for 1896, a trader gains 25% on the tableand 10% on the chair. If he sells them for 1770, he makes a profit of 10%on the table and 25% on the chair. Find the cost price of each.
 29
If three times the larger of the two numbers is divided by the smaller one, weget 4 as quotient and 3 as the remainder. Also if seven times the smallernumber is divided by the larger one, we get 5 as quotient and 1 as remainder.Find the numbers.
 31
A two-digit number is 4 more than 6 times the sum of its digits. If 18 issubtracted from the number, the digits are reversed. Find the number.
 32
Find the value of k for which the system of equations have a unique
x - ky = 2, 3x+ 2y = - 5.