Question

7. Find the value of ab when a + b = 10 and a - b =6
correct answer is 16..​

Answer 1

Answer:

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Step-by-step explanation:

☆ Question:

▪ Find the value of ab when a + b = 10 and a - b=6.

☆ Solution:

▪ a + b = 10...(1)

▪ a - b = 6...(2)

=》Let us write the value of b in terms of a from equation (1) as,

=》b = 10 - a.. (3)

=》Substituting this value of b in equation (2).

=》a - (10 - a) = 6

=》a - 10 + a = 6

=》2a - 10 = 6

=》2a = 6 + 10

=》2a = 16

=》a = 16/2

=》a = 8

=》Now, substituting the value of a in (1)

=》a + b = 10

=》8 + b = 10

=》b = 10 - 8

=》b = 2

==》Now we have to find value of ab,

=》ab = 8 × 2 = 16

=》Hence, the answer is 16