The sum of two numbers a and b is 7 and the difference between them is 2. What is the value of a x b ? Give your answer as a mixed number in its simplest form.

45/4

Step-by-step explanation:

We can interpret the question to have two equation which can be solve simultaneously

a+b=7(1)

a-b=2(2)

From eqn(2) make a subject of formula

a=2+b(3)

Substitute the (3) into eqn(1)

a+b=7(1)

2+b+b=7

2b=7-2

2b=5

b=5/2

From equation (3) substitute value of b to find a

a=2+b(3)

a= 2+5/2

a=9/2

Then What is the value of a x b ?

9/2× 5/2

=45/4

11 1/4

Step-by-step explanation:

a+b=7

a-b=2

adding equations gives us 2a=9  so a= 9/2

b= 7- 9/2= 14-9/2=5/2

therefore a x b= 9/2 x 5/2 =45/4

45/4 in a mixed number is 11 1/4

34

step-by-step explanation:

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5