Question

Q1.Mukesh is three times as old as Suresh. 9 years
ago, the sum of their ages was 66 years. Find
their present ages.

Answer 1

Answer :-

Let the age of suresh be 'x'

Age of mukesh = 3 × x = '3x'

9 years ago -

➩ Age of suresh = x - 9

➩ Age of mukesh = 3x - 9

According to the question -

➩ x - 9 + 3x - 9 = 66

➩ 4x - 18 = 66

➩ 4x = 66 + 18

➩ 4x = 84

➩ x = 84/4

➩ x = 21

Age of Suresh = 21

Age of Mukesh = 21 × 3 = 63

Answer 2

$\underline{\boxed{\bold{ \bigstar \; Question \; \bigstar }}}$

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➠ Mukesh is three times as old as Suresh. 9 years  ago, the sum of their ages was 66 years. Find  their present ages.

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$\underline{\boxed{\bold{ \bigstar \; Important \; Information \; \bigstar }}}$

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❏ To solve this type of question, there are two methods.

• Linear equation in one variable
• Linear equation in 2 variables

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❏ We will solve using linear equation in one variable to get our answer with least calculations.

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$\underline{\boxed{\bold{ \bigstar \; Answer \; \bigstar }}}$  

Let's Start !

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❖ Here is your answer :)

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Let us assume following things.

• Present age of Suresh = x

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∴ According to condition,

• Present age of Mukesh = 3x

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Now let's see second condition.

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❖ 9 years  ago, the sum of their ages was 66 years.

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• Age of Suresh 9 years ago = x - 9
• Age of Mukesh 9 year ago = 3x - 9

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Now as the sum of their age was 66 years.

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$:\implies 3x - 9 + x - 9 = 66$

$:\implies 4x - 18 = 66$

$:\implies 4x = 66 + 18$

$:\implies 4x = 84$

$:\implies x = \dfrac{84}{4} = 21 \; years$

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$\boxed{\boxed{\bold{\therefore Present\; age\; of \; Suresh = x = 21 \; years}}}$

$\boxed{\boxed{\bold{\therefore Present\; age\; of \; Mukesh = 3x = 63 \; years}}}$

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Hope this helps u.../  

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