a. Leena and Renu were working on the given number machine. Leena picked the two smallest numbers from the number machine and found their sum. Renu picked the greatest number from the machine and subtracted it from the sum that Leena has found. What answer will Renu arrive at?
| Number Machine |
|---|---|
| Number 1 | 83,34,012 |
| Number 2 | 1,24,62,177 |
| Number 3 | 90,51,764 |
| Number 4 | 1,19,88,102 |
Help Seema find the sum of the two 7-digit numbers that she formed by using the digits below.
7, 4, 3, 8, 9, 0, 2
- One number that she formed is the smallest 7-digit even number.
- The other number that she formed is the greatest 7-digit odd number, but the number in the hundreds place was 2.
Answer (2)
Renu will arrive at the answer of 49,23,599 after subtracting the greatest number from the sum of the two smallest numbers. Seema can form the smallest 7-digit even number 1,02,34,78 and the greatest 7-digit odd number is 98,74,320. The total sum of these numbers is 1,01,09,098.
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Let's break down the problem into two parts to understand each step clearly.
Part 1: Leena and Renu's Calculation
Leena's Task : Leena needs to pick the two smallest numbers from the number machine and find their sum. The numbers provided are:
Number 1: 83,34,012
Number 2: 1,24,62,177
Number 3: 90,51,764
Number 4: 1,19,88,102
The two smallest numbers are 83,34,012 and 90,51,764.
Their sum is calculated as:
83 , 34 , 012 + 90 , 51 , 764 = 1 , 73 , 85 , 776
Renu's Task : Renu needs to take the greatest number and subtract it from the sum that Leena found. The greatest number from the list is 1,24,62,177.
Subtract this from the sum:
1 , 73 , 85 , 776 − 1 , 24 , 62 , 177 = 49 , 23 , 599
Thus, the answer that Renu will arrive at is 49,23,599.
Part 2: Seema's Number Formation
Smallest 7-digit Even Number : Use the digits 7, 4, 3, 8, 9, 0, 2.
To form the smallest number, start with the smallest digit, making sure the number remains even. The smallest positive digit is 2.
The resulting number is 20,34,789.
Greatest 7-digit Odd Number : Ensure the hundreds place is 2:
Start with the largest digits to form the greatest number. Place the largest odd number in the unit's place to confirm it is odd.
The number formed should be 98,47,320.
Sum of the Two Numbers :
Add both numbers formed:
20 , 34 , 789 + 98 , 47 , 320 = 1 , 18 , 82 , 109
Thus, Seema finds the sum of the two formed numbers to be 1,18,82,109.
