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9. Find two numbers whose product is a 1-digit number and the sum is a 2-digit number.
10. Find three whole numbers whose product and sum are equal.
Answers
Answer:
9. 1 and 9
10. 1,2 and 3
Step-by-step explanation:
9 sol..
This is the kind of problem you solve by inspection. There aren’t many combinations of integers that, when multiplied, give a one digit answer. Let’s write them all out.
1*1, 1*2, 1*3, 1*4, 1*5, 1*6, 1*7, 1*8, 1*9
2*2, 2*3, 2*4
3*3
And that’s all there is. Looking at the list it’s clear the only one that adds up to a two digit number is 1 and 9.
10 sol.....
The whole numbers for which the products and sum are equal is 1, 2 and 3.
Solution:
To find the three whole numbers in such a way that their product and sum should be equal.
Assume that the three numbers are x, y and z.
We know that, x \times y \times z = x + y + zx×y×z= x+y+z
Now consider an example, substitute x=1, y=2 and z=3
We know that their product is equal to 6 and their sum is equal to 6
1×2×3=6
1+2+3=6.......
9) Find two numbers whose product is a 1 digit number and the sum is a 2 digit number.
The two numbers are 1 and 9
Product of 1 and 9 = 1 × 9 = 9
Sum of 1 and 9 = 1 + 9 = 10
10) Find three whole numbers whose product and sum are equal.
The three whole numbers are 1, 2, 3
Product of 1, 2, 3 = 1 × 2 × 3 = 6
Sum of 1, 2, 3 = 1 + 2 + 3 = 6