Question

3 years ago the age of Abhishek was four times the age of sweta after 5 years the age of Abhishek will be two times the age of sweta

Answer 1

${\bold{\underline{Answer}}}$→

☛${\sf{Age\:of\:Abhishek\:is\:19\:years}}$

☛${\sf{Age\:of\:Shweta\:is\:7\:years}}$

${\bold{\underline{Step\:by\:Step\:Explanation}}}$→

♦Let the age of Abhishek be x years

♦Let the age of Shweta be y years

${\bold{\underline{According \:to\: the\: question}}}$ →

Case1. : Age three years ago

→ (x - 3 ) = 4 (y - 3)

→ x - 3 = 4y - 12

→ x - 4y + 9 = 0 ...............[Eq.1]

Case2. : Age five years hence

→(x + 5 ) = 2(y+5)

→ x + 5 = 2y + 10

→ x - 2y - 5 = 0.............[Eq.2]

Applying ${\bold{Elimination\:Method}}$ ,

As the coefficient of x is already same , so just Subtract the two equations to eliminate x variable . Signs will also change while subtracting . so we have ,

=> x - 4y + 9 = 0

=> x - 2y - 5 = 0

----------------------------

= -2y + 14 = 0

2y = 14

${\boxed{\bold{y = 7}}}$

Substitute this value of x in equation (1)

=> x - 4y + 9 = 0

=> x - 4(7) + 9 = 0

=> x - 28 + 9 = 0

=> x - 19 = 0

${\boxed{\bold{x = 19}}}$

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Answer 2

Answer:

the underline words are the

Step-by-step explanation:

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