Question

Six imes the age of Anu is added to eight times the age of Manu gives 92. Five times the age of Anu is added to eight times the age of Manu gives 82. What is the age of Anu ? What is the age of Manu ?​

Answer 1

Step-by-step explanation:

Let the present age of Anu be x

And present age of Manu be y

Case 1:-

⇢ 6 (Age of Anu) + 8 (Age of Manu) = 92

⇢ 6x + 8y = 92......(i)

Case 2:-

⇢ 5 (Age of Anu) + 8 (Age of Manu) = 82

⇢ 5x + 8y = 82......(ii)

Subtracting equation (ii) from (i)

⇢ 6x + 8y - (5x + 8y) = 92 - 82

⇢ 6x + 8y - 5x - 8y = 10

⇢ x = 10

Substituting x = 10 in equation (ii)

⇢ 5x + 8y = 82

⇢ 5(10) + 8y = 82

⇢ 50 + 8y = 82

⇢ 8y = 82 - 50

⇢ 8y = 32

⇢ y = 32/8 = 4

We have:-

• x = 10

• y = 4

Therefore:-

The present age of Anu = 10 years

The present age of Manu = 4 years

Answer 2

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