D The product of the numbers denoting the ages (in years) of two adults is 770. What is the sum of their ages in year
Answers
Answer:
The sum of the two adult’s ages is 57.
To find:
The sum of the two adult’s age whose product of the ages is 770
Solution:
From the given, the two persons should be adults whose age is above 18.
So, find the factors of 770 which is greater than 18.
Factors of 770 = 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Hence there are 16 factors of 770. Out of which, numbers below 18 must be rejected as we don’t consider them as adults.
In addition to that, numbers above 50 should also be rejected since we don’t consider them as adults too.
Now, the factors of 770 = 22, 35
Hence, the ages of two adults be 22 and 35
On multiplying 22 and 35, we get 770.
On adding these two numbers, we get
22+35=57
Hence, the sum of their ages is 57.