Question
The sum of the digits of a two-digit number is 12. When
the digits are interchanged, the number decreases by 18. Find 160% of the number.Solution
ATQ,
Let unit digit = x, tens digit = y Number = (10y + x) ATQ, y + x = 12 ——— (I) (10y + x) – (10x + y) = 18 → 9(y – x) = 18 → y – x = 2 ——— (II) Add (I) and (II): 2y = 14 → y = 7 Then x = 12 – 7 = 5 Number = 10(7) + 5 = 75 160% of 75 = 1.6 × 75 = 120
The LCM of two numbers is 4 times of their HCF. The sum of LCM and HCF is 350. If one of the number is 200, then the other number is:
The smallest number which when divided by 23 and 28 leaves remainder 11 and 16 respectively is:
Three numbers are in the ratio 1:4:5 respectively. If the HCF of the numbers is 7, then find the LCM of the numbers.
The HCF of two numbers is 7. Which of the following can never be their LCM?
What is the highest common factor of 120 and 1800?
The smallest number which when divided by 28 and 32 leaves remainder 10 and 14 respectively is:
Find the difference between sum of digits of LCM and HCF of 16, 40 and 64.
What is the greatest number which divides 18, 29, and 40 and gives the remainder as 2, 3, and 4 respectively?
The HCF of two numbers is 72, and their LCM is 2160. What is the sum of the numbers?
- The LCM of two numbers is 150, and the numbers are in the ratio 2:5. What will be the sum of the numbers?
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