Question

(1) The sum of two numbers is 35. If one number is 6 times the other, then the smaller is ?
(a) 5
(b) 6
(c)7
(d) 8​

Answer 1

Answer:

(c) 6

Explanation:

To attempt this question, we need to make the following assumptions:-

Let the first number be x.

Let the second number be y.

Now, we can write the equations according to the question:-

x + y = 35 ----------------------- [1]

Let x = 6y

We can conclude that x > y.

Substitute the following in equation [1],

We get:-

6y + y = 35

7y = 35

y = \dfrac{35}{7}

7

35

y = 5 is the answer.

Next, we need to find x.

x = 6y

x = 6(5)

x = 30 is the answer.

So, the two numbers are 30 and 5.

Verification:-

Since we have the sum as x and y,

30 + 5 = 35 [LHS]

35 {RHS}

So, LHS = RHS.

Hence, Proved!

Answer 2

Answer c) 5

Explanation - let the no be x

x + x = 35

So, 6x + x = 35

7x = 35

Hence, x = 5