Applying Algebra to an Array of Numbers

Q.

The sum of two numbers is 20 and their difference is 6. Find the numbers.

1. 7 & 13

2. 8 & 12

3. 9 & 11

4. 6 & 14

Q.

Thrice a number added to 3 gives 7 can be expressed as:

1. 3x - 7 = 3

2. 3x + 3 = 7

3. 7 + 3x = 3

4. 3x - 3 = 7

Q. One of two number exeedthe other by nine. Four times the smaller added to five times the larger gives 108 find the 🔢

Q.

An unchanging relation is given by the following star

If using the same unchanging relation, new star is made as shown , then the value of a & b is equal to

1. 8, 4

2. 10, 8

3. 6, 12

4. 4, 6

Q.

Twice the sum of $a$ and thrice of $b$ is

1. $2(a+3b)$

2. $2a+3b$

3. $3(a+2b)$

4. $3a+2b$

Q.

Nine numbers are taken from calender as shown

9	10	11
16	17	18
23	24	25

If the sum of all given numbers is S, then the value of $\frac{S}{9}$ equals to

1. 17

Q. The difference between two numbers is 7. Six times the smaller plus the larger is 77. Find the numbers.

Q. The sum of two numbers is 20 and their difference is 6. Find the numbers.

Q.

3/5x, 2/5x, -4/5x add the following

Q. Set up an equation for the following statement:
Laxmis father is $49$ year old. He is $4$ year older than three times Laxmis age.

Q. If the sum and difference of two numbers are respectively $4x-2$ and $2x+4$, then the larger number is and the smaller number is .

1. $x-3$
2. $6x+2$
3. $3x+1$
4. $x+3$

Q.

If star is made following an unchanging relation an show below.

If the same unchanging relation is followed and a new star is made as shown, then the value of a & b will be equal to

1. 16, 8

2. 8, 16

3. 16, 4

4. 4, 16

Q.

one number is twice the other. when the large number is subtracted from 50, the result more than the smaller number subtracted from 40 , find the number

Q. If 5 is subtracted from three times a number, the result is 16. Find the number.

Q. The difference between two numbers is 7. Six times the smaller plus the larger is 77. Find the numbers.

Q. If the difference of a, b is 3/5 times that of the difference of 1/4, 1/5 and a+b=9/20 , then find the valueof a and a