# Equations 1/2

7. The difference between the squares of two consecutive numbers is 35. The numbers are
a. 14,15
b. 15,16
c. 17,18
d. 18,19

8.  $a$, $b$, $c$, $d$, $e$ are five consecutive numbers in the same order. If $a + b + d + e = 152$, Find $a \times e$
a. 1400
b. 1440
c. 1480
d. 1520

9. The sum of a two digit number and the number formed by reversing the two digits is always divisible by
a. 9
b. 10
c. 11
d. 3

10. A two digit number when 18 is subtracted becomes another two digit number with reversed digits. How many such two digit numbers are possible?
a. 2
b. 3
c. 7
d. 8

11. 24 is divided into two parts such that 7 times the first part added to 5 times the second part gives 146. The first part is
a. 11
b. 13
c. 16
d. 17

12. The product of two numbers is 120. The sum of their squares is 289. The sum of the two numbers is :
a. 20
b. 23
c. 169
d. None

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