Question

1. One number is twice the other. Together they are equal to 15. The equation is:a) x+x2 = 152 b) x+2x=15 c) 2x−x=15 d) 2x+x=92. Two is subtracted from a number. When their difference is multiplied by 2, the product is 8. The equation is:a) 2−2x=8 b) 2(2−x)=8 c) 2(x−2)=8 d) x-2 =83. Each basket contains 5 more bananas than apples. If the total number of fruitsin 5 baskets is 35, then the number of apples in each basket is:a) 1 b) 2 c) 5 d) 74. The perimeter of a rectangle is 24 units. If the length is twice its breadth, the breadth is:a) 2units b) 3 units c) 4 units d) 6 units5. There are (2x−1¿,10 rupee coins. Their value in rupees is:a) 10x b) 20x−10 c) 19xd¿2x−1106. The sum of two 2 digit number is 25, and their difference is 1. The two numbers are:a) 10,15 b) 16,9 c) 12,13 d) 14,117. Two numbers are in the ratio 3:5. Their sum is 120. The equation that should be formed to solve the problem is : a) 8x=120 b) 4x=120 c) 3x=120 d) 2x=1208. In a linear equation, if you multiply the LHS by a number, then you should :a) divide the RHS by it b) add it to RHS c) subtract from the RHS d) multiply the RHS by it9. Find the number which becomes three times as large when 46 is added to it.a) 32 b) 23 c) 92 d) 4410. The degree of a linear equation is________a) 3 b) 0 c) 1 d) 211. The sum of three consecutive numbers is 204. The smallest number is________ a) 68 b) 67 c)0 d)6912. The value of x∈−x+24=−3x−20is _______a) 22 b) -22 c) -11 d)1113. If 4(1−p)=3(p−2), then p= _____ a) −710 b)710 c)−107 d)10714. What value of y will make 1.6(4−y)−0.8(2y−3) equal to 0?a) −114 b)114 c) 411 d)−41115. The value of x∈2x−35+x+34=4x+17 is :a) 111 b−111 c) 0.1 d) -0.116. The linear equation for a number added to two-thirds the number less 4 is equal to one is: a) (x−4)+23x=1 b)23x+(4−x)=1 c) 23+(x−4)=1 d) (23x−4)+x=117. One number is 5 more than another number. Also 6 times the smaller number is equal to 5 times the larger number. The two numbers are a) 24,20 b)25,30 c) 28,35 d) 30,3618. In ax+b=0,x=¿ ________a) ba b) ab c)−ba d)−ab19. If 2x9=83,x=¿ _______a) 21 b) 12 c) 27 d)2420. If ax+b=k,x=¿__________a) b−ka b)k−ba c) a−kb d) a−kx21. If ax-b= c-dx, x =_____a)c+ba+d b) b−ca+d c) c−ba+d d) a+bc+d 22. Determine which is the linear equation in one variable:a)x+35+5x=3x−11 b)x+y+4=0 c) xy+2=15 d) x2+2x+1=023. The root of 3x+9=3 is________a) 2 b) -2 c) 9 d)-924. The two consecutive positive odd integers are_________a) x, x+2 b) x, x+1 c) x, x+3 d) x, x+425. One fourth of one half of a number x is_______a) 14x b) 12x c) 14 x 12Xx d)13X12x26. x=5 is not the solution of ________a) 2x = 10 b) 7x=35 c) x+1=6 d) x-1=627. An example for a linear equation is_____a) 3x+6=5 b) 3x2+6=5 c) x2+y2=5 d) xy+yx=228. Manu is 3 years older than Jessica. After 6 years, their ages will be in the ratio 10:9. What is the present age of Jessica?a) 21 years b) 22 years c) 23 years d)24 years 29. Four is subtracted from thrice a number and the result obtained is divided by 7 to get 11. Then the number is_____a) 25 b) 26 c)27 d) 28 30. Sum of two numbers is 60. The bigger number is 4 times the smaller one. The numbers are_____a) 15,45 b) 12,48 c) 24,36 d) 16 Please answer for this questions

Answer 1

Correct option is

D

24 years

Let the sum of the ages of A=5x and B=3x

Then after 6 years, their ages are in ratio 7:5

∴

3x+6

5x+6

=

5

7

∴ 25x+30=21x+42

4x=12

x=3

Present age of A= 5x=15

Present age of B=3x=9

Sum of present age =15+9=24 years