Question
One-seventh of a 2-digit number is 10 less than half of
the number. What is the sum of the digits of the 2-digit number?Solution
Let the unit and tens digits of the numbers be p and q respectively. Hence, the number = 10q + p According to the question, 1/7 x (10q+p) = 1/2x (10q+p) - 10 5 /14 × (10q+p) = 10 (10q+p) = 28 (10q+p) = 2 x 10 + 8 Hence, p = 8 and q = 2 Thus, (p+q) = 8 + 2 = 10 The sum of the 2-digit number is 10.
A person goes 15 km at 5 km/h and returns 15 km at 3 km/h. Find the average speed for the whole journey.
Rahul travels a certain distance with a constant speed of 18 km/h and reaches 3 hours late. If he had travelled at a constant spe...
A man running with the speed of 55 km/hr covers a certain distance in ‘x’ hours. If the same distance can be travelled with a speed of 60 km/h in (x...
A person starts jogging from park gate 'A' at 6:30 AM at a speed of 8 km/h. Another person starts from the same gate at 8:00 AM, jogging in the same dir...
A boy goes to school with a speed of 85 km/h and comes back with a speed of 40 km/h. find his average speed?
‘A’ and ‘B’ started moving towards each other at same time with a speed of 8 km/hr and 10 km/hr, respectively. If the dis...
What is the time taken by a 540 m long train running at 72 km/h to cross a man standing on a platform?
Two individuals, A and B, travel from point M to point N at different speeds. A takes 6 hours to complete the journey, while B takes 8 hours. The differ...
Two classmates R and S stand at points U and V respectively. R starts toward V from U at a speed of (x – 5) km/h. After 3 hours, S starts toward U fro...
A reporter gets Rs. 40 per km for taxi travel and Rs. 20 per km for auto travel. In one week, he travelled 120 km and claimed Rs. 3600. How many km did ...
Relevant for Exams:
