Question

number in the form 15q + 7 can be written as :

(A) 3m + 3 (B) 5m + 2 (C) 5m + 3 (D) 3m + 2​

Answer 1

Answer:

B : 15q +7= 5m+2

IFF 15q +5 = 5m

IFF 3q+1= m

since q belongs to whole number m is also whole.

Answer 2

Number in the form 15q + 7 can be written as 5m + 2

Given :

The number 15q + 7

To find :

Number in the form 15q + 7 can be written as

(A) 3m + 3

(B) 5m + 2

(C) 5m + 3

(D) 3m + 2

Solution :

Step 1 of 2 :

Write down the given number

The given number is 15q + 7

Step 2 of 2 :

Express the number

$\sf 15q + 7$

$\sf = 15q + 5 + 2$

$\sf = 5(3q + 1)+ 2$

$\sf = 5m + 2 \: \: \: where \: \: m = 3q + 1$

So the number in the form 15q + 7 can be written as 5m + 2

Hence the correct option is (B) 5m + 2