Question

rams and haris ages are in the ratio 12:7 .3 years ago their age ratio were 11:6 what was haris age 5 years ago?​

Answer 1

Answer:

this is your answer

step -by -step -explanation

Let ram be = 12x

Let hari be = 7x

3 years ago,

12x-3/7x-3=11/6

6(12x- 3)=11(7x-8)

72x-18=77x-33

-18+33=77x-72x

15=5x

5x=15

x=15/5=3

Hari was three years old

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Answer 2

5 years ago Hari's age was 16 years

Given :

• Ram's and Hair's ages are in the ratio 12 : 7

• 3 years ago their age ratio were 11 : 6

To find :

Hari's age 5 years ago

Solution :

Step 1 of 3 :

Form the equation to calculate Hari's present age

Here it is given that Ram's and Hair's ages are in the ratio 12 : 7

Let present age of Ram and Hair is 12x years and 7x years respectively

∴ 3 years ago their age were (12x - 3) years and (7x - 3) years respectively

So by the given condition

$\displaystyle \sf (12x - 3) : (7x - 3) = 11 : 6$

Step 2 of 3 :

Calculate Hari's present age

$\displaystyle \sf (12x - 3) : (7x - 3) = 11 : 6$

$\displaystyle \sf{ \implies } \frac{(12x - 3) }{ (7x - 3)} = \frac{11 }{6}$

$\displaystyle \sf{ \implies } 11 \times (7x - 3) = 6 \times (12x - 3)$

$\displaystyle \sf{ \implies }77x - 33 = 72x - 18$

$\displaystyle \sf{ \implies }77x - 72x = 33 - 18$

$\displaystyle \sf{ \implies }5x = 15$

$\displaystyle \sf{ \implies }x = 3$

∴ Present age of Ram and Hair is 36 years and 21 years respectively

Step 3 of 3 :

Calculate Hari's age 5 years ago

Present age of Hair = 21 years

Hence Hari's age 5 years ago

= 21 years - 5 years

= 16 years

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