# Equations 1/2

7. $\displaystyle\frac{4}{5}$ of a number exceeds its $\displaystyle\frac{2}{3}$ by 8. The number is
a. 30
b. 60
c. 90
d. None of these

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 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