Answer:
The number is 768
Explanation:
The given parameters of the three digits number are;
The number is a multiple of four, therefore, a factor of the number = 4
The value of the first digit = A prime number larger than 5
The sum of the last two digits > 10
The value of the ones (place value) digit > The tens (place value) digit
Let 'xyz' represent the digits of the three digits number, we have;
x = A prime number digit larger than 5
∴ x = 7
y + z > 10
z > y and z > x
Given that 4 is a factor of the number, we have;
4 is a factor of 'z'
4 is also a factor of yz
Therefore, the digit, z > 7 and z is divisible by 4, therefore, z = 8
y + z = y + 8 > 10
∴ y > 10 - 8
y > 2
The multiples of 4 larger than 728 with the last digit equal to 8 are found using Microsoft Excel and presented as follows;
748, 768, 788
The numbers that have a larger ones place value are; 748 and 768
The sum of the las two digits are therefore, 4 + 8 = 12 and 6 + 8 = 14
The number that has the largest ones place value for the sum of the last two digits is 768
The number is 768
