MATH MAJORSHIP PRE-BOARD
1. The tens
tens digit
digit of a cert
certain
ain two-digit
two-digit number
number is
4 more than the unit’s digit; the sum of the
squares of two digits is 26. Find the number.
A. 51
B. 54
C. 15
D. 45
By mere inspection, A. 51 is the only number
that satisfies the condition that “The tens digit
of
a ’certain
number
4 more
unit’
unit
s digit”
digit ”.two-digit
Given that
its tensisdigit
is 5 than
and the
units digit is 1, it also satisfies the condition that
“the sum of the squares of two digits is 26”
2. The sum of two
t wo consecutive
consecutive numbers is 75.
What is the smaller number?
A. 35
B. 40
C. 38
D. 37
Let, smaller number = x
Larger number = x+1
x+x+1=75
2x=75-1
2x=74
2x/2=74/2
X=37
D. 37