Q3 of 38 Page 88

The ratio of the difference obtained by subtracting 2 from thrice a number to the sum of twice the same number and 5 is 13 : 15. What is the number?

Let the number be x

On Subtracting 2 from thrice a number = 3x - 2


Sum of twice the number and 5 = 2x + 5


It is given that, their ratio is 13:15



On cross multiplying, we get,


⇒ 45x – 30 = 26x + 65


⇒ 19x = 95


⇒ x = 5


∴The number is 5


More from this chapter

All 38 →
1

Poorva is older than Durva by 6 years. The ratio of Poorva age to Durva’s age three years hence will be 4 : 3. What is Poorva’s age today?

 2

The difference of two natural numbers is 72. If we get 4 of dividing the bigger by the smaller number, find the numbers.

 4

The difference between the ages of two brothers today is 4 years. Five years ago, the ratio of their ages was 5 : 7. Find the age of the younger brother.

 5

The numerator of a fraction is 3 less than its denominator. If the numerator is tripled and the denominator is increased by 2, the value of the fraction obtained is 1/2. What was the original fraction?