Simplify :
Solve the following and verify the result
Three numbers are in the ratio 2 : 3 : 5. Find the numbers, if the sum of their squares is 608.
Three consecutive whole numbers are such that if they are divided by 5, 3, 4 respectively, the sum of the quotients is 40. Find the numbers.
I have a total of Rs 300 as coins of denomination of 1, 2 and 5. The number of 2 rupee coins is 3 times the number of 5 rupee coins. The total number of coins are 160. How many coins of each denomination are with me ?
Solve the following
The sum of two positive integers is 120. The integers are in the ratio 2 : 3. Find the integers.
Solve and verify the result
The sum of the digits of a two digit number is 10. The number obtained by interchanging the digits exceeds the original number by 36. Find the original number.
One fifth of a number increased by 5 is equal to 4 less than one fourth of that number. Find the number.
Priya’s father decided to distribute apples among patients of a hospital on her birthday. He brought 963 apples to distribute to the patients. The male patients are more than two times female patients and children are two times female patients in hospital. Each patient will get only one apple.
(i) How many apples female patients will get?
(ii) What value is depicted by the father’s act of distributing the apples?
A money box contains one rupee and 2 rupee coins in ratio 3 : 5. If the total value of coins in the money box is Rs. 78, find the number of one rupee coins.
A number consists of two digits whose sum is 8. If 18 is added to the number, its digits are reversed. Find the number.
The numerator of a fraction is 4 less than the denominator. If 1 is added to both its numerator and denominator, it becomes 1⁄2. Find the fraction.
Arvind has a piggy bank. It is full of one rupee and fifty paise coins. It contains 3 times as many fifty paise coins as one rupee coins. The total amount of the money in the piggy bank is H 35. How many coins of each kind are there in the piggy bank?
Kumar is 3 years older than Anita. Six years ago, Kumar’s age was 4 times Anita’s age. Find the present ages of Kumar and Anita.
arnav’s father is 49 years old. He is nine years older than four times arnav’s age. set up an equation to find arnav’s age.
Present ages of Sehaj and Saloni are in ratio 5 : 4. Eight years from now, the ratio of their ages will be 6 : 5. Find their present ages.
The denominator of a 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.
Solve the following and verify the result
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