# Equations 1/2

9. 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

10. $\displaystyle\frac{{{3^{th}}}}{4}{\rm{ of }}\displaystyle\frac{{{1^{th}}}}{5}$ of a number is 60. The number is
a. 300
b. 400
c. 450
d. 1200

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

13. The sum of squares of two numbers is 68 and the square of their difference is 36. The product of the two numbers is
a. 16
b. 32
c. 58
d. 104

14. The sum of seven numbers is 235. The average of the first three is 23 and that of the last three is 42. The fourth number is
a. 40
b. 126
c. 69
d. 195

15. Two numbers are such that the ratio between them is 3:5 but if each is increased by 10, the ratio between them becomes 5 : 7, the numbers are
a. 3, 5
b. 7, 9
c. 13, 22
d. 15, 25

16. A fraction becomes 4 when 1 is added to both the numerator and denominator, and it becomes 7 when 1 is subtracted from both the numerator and denominator. The numerator of the given fraction is :
a. 2
b. 3
c. 7
d. 15