Grandmother's age from the digits

MediumBrainteasers~5m

A grandmother has two grandchildren whose ages happen to be the two digits of the grandmother's (two-digit) age. The three ages sum to $98$ . How old is the grandmother?

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Grandmother's age $=10d_1+d_2$ ; grandchildren are $d_1$ and $d_2$ . Form the sum equation.
$11d_1+2d_2=98$ with digit constraints forces $d_1=8,d_2=5$ .

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Grandmother's age from the digits

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